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Finding the Fourth Proportional to 408,607.92, 612,909.84 and 105,001.80

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Solution

The fourth proportional to 408,607.92, 612,909.84 and 105,001.80 is: 157,502.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,607.92 : 612,909.84 = 105,001.80 : x
  2. Step 2: Convert to fraction form
    408,607.92/612,909.84 = 105,001.80/x
  3. Step 3: Cross multiply
    408,607.92x = 612,909.84 × 105,001.80
  4. Step 4: Simplify right side
    408,607.92x = 64,356,636,437.71
  5. Step 5: Solve for x
    x = 64,356,636,437.71/408,607.92
  6. Step 6: Final answer
    x = 157,502.18

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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.