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Finding the Fourth Proportional to 522,856, 721,541.92 and 284,392

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Solution

The fourth proportional to 522,856, 721,541.92 and 284,392 is: 392,461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,856 : 721,541.92 = 284,392 : x
  2. Step 2: Convert to fraction form
    522,856/721,541.92 = 284,392/x
  3. Step 3: Cross multiply
    522,856x = 721,541.92 × 284,392
  4. Step 4: Simplify right side
    522,856x = 205,200,749,712.64
  5. Step 5: Solve for x
    x = 205,200,749,712.64/522,856
  6. Step 6: Final answer
    x = 392,461.31

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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.