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Finding the Fourth Proportional to 408,005.70, 612,008.55 and 381,567.30

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Solution

The fourth proportional to 408,005.70, 612,008.55 and 381,567.30 is: 572,350.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,005.70 : 612,008.55 = 381,567.30 : x
  2. Step 2: Convert to fraction form
    408,005.70/612,008.55 = 381,567.30/x
  3. Step 3: Cross multiply
    408,005.70x = 612,008.55 × 381,567.30
  4. Step 4: Simplify right side
    408,005.70x = 233,522,450,000.42
  5. Step 5: Solve for x
    x = 233,522,450,000.42/408,005.70
  6. Step 6: Final answer
    x = 572,350.95

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1.5x scale

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.