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Finding the Fourth Proportional to 472,705.10, 709,122.45 and 157,129.10

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Solution

The fourth proportional to 472,705.10, 709,122.45 and 157,129.10 is: 235,715.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,705.10 : 709,122.45 = 157,129.10 : x
  2. Step 2: Convert to fraction form
    472,705.10/709,122.45 = 157,129.10/x
  3. Step 3: Cross multiply
    472,705.10x = 709,122.45 × 157,129.10
  4. Step 4: Simplify right side
    472,705.10x = 111,423,772,358.30
  5. Step 5: Solve for x
    x = 111,423,772,358.30/472,705.10
  6. Step 6: Final answer
    x = 235,715.19

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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.