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Finding the Fourth Proportional to 399,099.60, 598,753.08 and 199,411.92

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Solution

The fourth proportional to 399,099.60, 598,753.08 and 199,411.92 is: 299,169.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,099.60 : 598,753.08 = 199,411.92 : x
  2. Step 2: Convert to fraction form
    399,099.60/598,753.08 = 199,411.92/x
  3. Step 3: Cross multiply
    399,099.60x = 598,753.08 × 199,411.92
  4. Step 4: Simplify right side
    399,099.60x = 119,398,501,288.71
  5. Step 5: Solve for x
    x = 119,398,501,288.71/399,099.60
  6. Step 6: Final answer
    x = 299,169.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.