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Finding the Fourth Proportional to 478,176.38, 717,097.11 and 141,127.77

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Solution

The fourth proportional to 478,176.38, 717,097.11 and 141,127.77 is: 211,642.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,176.38 : 717,097.11 = 141,127.77 : x
  2. Step 2: Convert to fraction form
    478,176.38/717,097.11 = 141,127.77/x
  3. Step 3: Cross multiply
    478,176.38x = 717,097.11 × 141,127.77
  4. Step 4: Simplify right side
    478,176.38x = 101,202,316,007.75
  5. Step 5: Solve for x
    x = 101,202,316,007.75/478,176.38
  6. Step 6: Final answer
    x = 211,642.23

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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.