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Finding the Fourth Proportional to 408,117.94, 612,280.65 and 239,780.50

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Solution

The fourth proportional to 408,117.94, 612,280.65 and 239,780.50 is: 359,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,117.94 : 612,280.65 = 239,780.50 : x
  2. Step 2: Convert to fraction form
    408,117.94/612,280.65 = 239,780.50/x
  3. Step 3: Cross multiply
    408,117.94x = 612,280.65 × 239,780.50
  4. Step 4: Simplify right side
    408,117.94x = 146,812,960,397.33
  5. Step 5: Solve for x
    x = 146,812,960,397.33/408,117.94
  6. Step 6: Final answer
    x = 359,731.70

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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.