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Finding the Fourth Proportional to 482,117.78, 723,312.10 and 178,507.38

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Solution

The fourth proportional to 482,117.78, 723,312.10 and 178,507.38 is: 267,811.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,117.78 : 723,312.10 = 178,507.38 : x
  2. Step 2: Convert to fraction form
    482,117.78/723,312.10 = 178,507.38/x
  3. Step 3: Cross multiply
    482,117.78x = 723,312.10 × 178,507.38
  4. Step 4: Simplify right side
    482,117.78x = 129,116,547,893.30
  5. Step 5: Solve for x
    x = 129,116,547,893.30/482,117.78
  6. Step 6: Final answer
    x = 267,811.21

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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.