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Finding the Fourth Proportional to 381,660.10, 572,490.15 and 293,359.30

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Solution

The fourth proportional to 381,660.10, 572,490.15 and 293,359.30 is: 440,038.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,660.10 : 572,490.15 = 293,359.30 : x
  2. Step 2: Convert to fraction form
    381,660.10/572,490.15 = 293,359.30/x
  3. Step 3: Cross multiply
    381,660.10x = 572,490.15 × 293,359.30
  4. Step 4: Simplify right side
    381,660.10x = 167,945,309,660.90
  5. Step 5: Solve for x
    x = 167,945,309,660.90/381,660.10
  6. Step 6: Final answer
    x = 440,038.95

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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.