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Finding the Fourth Proportional to 469,723.20, 703,242.24 and 311,637.12

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Solution

The fourth proportional to 469,723.20, 703,242.24 and 311,637.12 is: 466,564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,723.20 : 703,242.24 = 311,637.12 : x
  2. Step 2: Convert to fraction form
    469,723.20/703,242.24 = 311,637.12/x
  3. Step 3: Cross multiply
    469,723.20x = 703,242.24 × 311,637.12
  4. Step 4: Simplify right side
    469,723.20x = 219,156,386,335.95
  5. Step 5: Solve for x
    x = 219,156,386,335.95/469,723.20
  6. Step 6: Final answer
    x = 466,564.96

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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.