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Finding the Fourth Proportional to 408,930.90, 612,084.15 and 319,701.30

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Solution

The fourth proportional to 408,930.90, 612,084.15 and 319,701.30 is: 478,526.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,930.90 : 612,084.15 = 319,701.30 : x
  2. Step 2: Convert to fraction form
    408,930.90/612,084.15 = 319,701.30/x
  3. Step 3: Cross multiply
    408,930.90x = 612,084.15 × 319,701.30
  4. Step 4: Simplify right side
    408,930.90x = 195,684,098,464.40
  5. Step 5: Solve for x
    x = 195,684,098,464.40/408,930.90
  6. Step 6: Final answer
    x = 478,526.07

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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.