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Finding the Fourth Proportional to 522,537, 721,106.82 and 284,073

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Solution

The fourth proportional to 522,537, 721,106.82 and 284,073 is: 392,023.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,537 : 721,106.82 = 284,073 : x
  2. Step 2: Convert to fraction form
    522,537/721,106.82 = 284,073/x
  3. Step 3: Cross multiply
    522,537x = 721,106.82 × 284,073
  4. Step 4: Simplify right side
    522,537x = 204,846,977,677.86
  5. Step 5: Solve for x
    x = 204,846,977,677.86/522,537
  6. Step 6: Final answer
    x = 392,023.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.