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Finding the Fourth Proportional to 1,091,200,154.72, 1,505,856,817.72 and 589,408,936.10

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Solution

The fourth proportional to 1,091,200,154.72, 1,505,856,817.72 and 589,408,936.10 is: 813,384,658.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091,200,154.72 : 1,505,856,817.72 = 589,408,936.10 : x
  2. Step 2: Convert to fraction form
    1,091,200,154.72/1,505,856,817.72 = 589,408,936.10/x
  3. Step 3: Cross multiply
    1,091,200,154.72x = 1,505,856,817.72 × 589,408,936.10
  4. Step 4: Simplify right side
    1,091,200,154.72x = 887,565,464,851,276,928
  5. Step 5: Solve for x
    x = 887,565,464,851,276,928/1,091,200,154.72
  6. Step 6: Final answer
    x = 813,384,658.18

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.