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Finding the Fourth Proportional to 520,164.25, 780,273.37 and 165,206.05

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Solution

The fourth proportional to 520,164.25, 780,273.37 and 165,206.05 is: 247,817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,164.25 : 780,273.37 = 165,206.05 : x
  2. Step 2: Convert to fraction form
    520,164.25/780,273.37 = 165,206.05/x
  3. Step 3: Cross multiply
    520,164.25x = 780,273.37 × 165,206.05
  4. Step 4: Simplify right side
    520,164.25x = 128,905,877,476.52
  5. Step 5: Solve for x
    x = 128,905,877,476.52/520,164.25
  6. Step 6: Final answer
    x = 247,817.64

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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.