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Finding the Fourth Proportional to 288,538.74, 432,843.08 and 120,173.22

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Solution

The fourth proportional to 288,538.74, 432,843.08 and 120,173.22 is: 180,274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,538.74 : 432,843.08 = 120,173.22 : x
  2. Step 2: Convert to fraction form
    288,538.74/432,843.08 = 120,173.22/x
  3. Step 3: Cross multiply
    288,538.74x = 432,843.08 × 120,173.22
  4. Step 4: Simplify right side
    288,538.74x = 52,016,146,077.45
  5. Step 5: Solve for x
    x = 52,016,146,077.45/288,538.74
  6. Step 6: Final answer
    x = 180,274.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.