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Finding the Fourth Proportional to 465,439.92, 642,115.80 and 295,612.08

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Solution

The fourth proportional to 465,439.92, 642,115.80 and 295,612.08 is: 407,823.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,439.92 : 642,115.80 = 295,612.08 : x
  2. Step 2: Convert to fraction form
    465,439.92/642,115.80 = 295,612.08/x
  3. Step 3: Cross multiply
    465,439.92x = 642,115.80 × 295,612.08
  4. Step 4: Simplify right side
    465,439.92x = 189,817,187,238.86
  5. Step 5: Solve for x
    x = 189,817,187,238.86/465,439.92
  6. Step 6: Final answer
    x = 407,823.18

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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.