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Finding the Fourth Proportional to 418,444.38, 577,731.29 and 321,475.50

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Solution

The fourth proportional to 418,444.38, 577,731.29 and 321,475.50 is: 443,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,444.38 : 577,731.29 = 321,475.50 : x
  2. Step 2: Convert to fraction form
    418,444.38/577,731.29 = 321,475.50/x
  3. Step 3: Cross multiply
    418,444.38x = 577,731.29 × 321,475.50
  4. Step 4: Simplify right side
    418,444.38x = 185,726,453,711.02
  5. Step 5: Solve for x
    x = 185,726,453,711.02/418,444.38
  6. Step 6: Final answer
    x = 443,849.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.