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Finding the Fourth Proportional to 315,614.40, 473,006.88 and 149,449.92

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Solution

The fourth proportional to 315,614.40, 473,006.88 and 149,449.92 is: 223,978.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,614.40 : 473,006.88 = 149,449.92 : x
  2. Step 2: Convert to fraction form
    315,614.40/473,006.88 = 149,449.92/x
  3. Step 3: Cross multiply
    315,614.40x = 473,006.88 × 149,449.92
  4. Step 4: Simplify right side
    315,614.40x = 70,690,840,375.45
  5. Step 5: Solve for x
    x = 70,690,840,375.45/315,614.40
  6. Step 6: Final answer
    x = 223,978.50

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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.