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Finding the Fourth Proportional to 515,856.60, 710,711.10 and 399,168.88

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Solution

The fourth proportional to 515,856.60, 710,711.10 and 399,168.88 is: 549,946.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,856.60 : 710,711.10 = 399,168.88 : x
  2. Step 2: Convert to fraction form
    515,856.60/710,711.10 = 399,168.88/x
  3. Step 3: Cross multiply
    515,856.60x = 710,711.10 × 399,168.88
  4. Step 4: Simplify right side
    515,856.60x = 283,693,753,790.57
  5. Step 5: Solve for x
    x = 283,693,753,790.57/515,856.60
  6. Step 6: Final answer
    x = 549,946.93

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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.