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Finding the Fourth Proportional to 522,855, 721,540.54 and 284,391

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Solution

The fourth proportional to 522,855, 721,540.54 and 284,391 is: 392,459.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,855 : 721,540.54 = 284,391 : x
  2. Step 2: Convert to fraction form
    522,855/721,540.54 = 284,391/x
  3. Step 3: Cross multiply
    522,855x = 721,540.54 × 284,391
  4. Step 4: Simplify right side
    522,855x = 205,199,635,711.14
  5. Step 5: Solve for x
    x = 205,199,635,711.14/522,855
  6. Step 6: Final answer
    x = 392,459.93

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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.