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Finding the Fourth Proportional to 522,854, 721,539.16 and 284,390

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Solution

The fourth proportional to 522,854, 721,539.16 and 284,390 is: 392,458.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,854 : 721,539.16 = 284,390 : x
  2. Step 2: Convert to fraction form
    522,854/721,539.16 = 284,390/x
  3. Step 3: Cross multiply
    522,854x = 721,539.16 × 284,390
  4. Step 4: Simplify right side
    522,854x = 205,198,521,712.40
  5. Step 5: Solve for x
    x = 205,198,521,712.40/522,854
  6. Step 6: Final answer
    x = 392,458.55

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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.