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Finding the Fourth Proportional to 406,079.47, 609,117.53 and 102,474.31

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Solution

The fourth proportional to 406,079.47, 609,117.53 and 102,474.31 is: 153,711.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,079.47 : 609,117.53 = 102,474.31 : x
  2. Step 2: Convert to fraction form
    406,079.47/609,117.53 = 102,474.31/x
  3. Step 3: Cross multiply
    406,079.47x = 609,117.53 × 102,474.31
  4. Step 4: Simplify right side
    406,079.47x = 62,418,897,329.05
  5. Step 5: Solve for x
    x = 62,418,897,329.05/406,079.47
  6. Step 6: Final answer
    x = 153,711.04

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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.