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Finding the Fourth Proportional to 447,943.46, 672,009.70 and 148,406.90

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Solution

The fourth proportional to 447,943.46, 672,009.70 and 148,406.90 is: 222,641.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,943.46 : 672,009.70 = 148,406.90 : x
  2. Step 2: Convert to fraction form
    447,943.46/672,009.70 = 148,406.90/x
  3. Step 3: Cross multiply
    447,943.46x = 672,009.70 × 148,406.90
  4. Step 4: Simplify right side
    447,943.46x = 99,730,876,346.93
  5. Step 5: Solve for x
    x = 99,730,876,346.93/447,943.46
  6. Step 6: Final answer
    x = 222,641.66

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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.