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Finding the Fourth Proportional to 418,437.60, 577,445.96 and 227,451

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Solution

The fourth proportional to 418,437.60, 577,445.96 and 227,451 is: 313,883.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,437.60 : 577,445.96 = 227,451 : x
  2. Step 2: Convert to fraction form
    418,437.60/577,445.96 = 227,451/x
  3. Step 3: Cross multiply
    418,437.60x = 577,445.96 × 227,451
  4. Step 4: Simplify right side
    418,437.60x = 131,340,661,047.96
  5. Step 5: Solve for x
    x = 131,340,661,047.96/418,437.60
  6. Step 6: Final answer
    x = 313,883.51

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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.