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Finding the Fourth Proportional to 418,437.80, 577,437.36 and 227,456

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Solution

The fourth proportional to 418,437.80, 577,437.36 and 227,456 is: 313,885.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,437.80 : 577,437.36 = 227,456 : x
  2. Step 2: Convert to fraction form
    418,437.80/577,437.36 = 227,456/x
  3. Step 3: Cross multiply
    418,437.80x = 577,437.36 × 227,456
  4. Step 4: Simplify right side
    418,437.80x = 131,341,592,156.16
  5. Step 5: Solve for x
    x = 131,341,592,156.16/418,437.80
  6. Step 6: Final answer
    x = 313,885.58

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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.