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Finding the Fourth Proportional to 418,938.66, 578,134.62 and 227,951.04

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Solution

The fourth proportional to 418,938.66, 578,134.62 and 227,951.04 is: 314,572.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,938.66 : 578,134.62 = 227,951.04 : x
  2. Step 2: Convert to fraction form
    418,938.66/578,134.62 = 227,951.04/x
  3. Step 3: Cross multiply
    418,938.66x = 578,134.62 × 227,951.04
  4. Step 4: Simplify right side
    418,938.66x = 131,786,387,889.01
  5. Step 5: Solve for x
    x = 131,786,387,889.01/418,938.66
  6. Step 6: Final answer
    x = 314,572.04

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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.