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Finding the Fourth Proportional to 418,564.80, 577,612.62 and 227,583

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Solution

The fourth proportional to 418,564.80, 577,612.62 and 227,583 is: 314,060.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,564.80 : 577,612.62 = 227,583 : x
  2. Step 2: Convert to fraction form
    418,564.80/577,612.62 = 227,583/x
  3. Step 3: Cross multiply
    418,564.80x = 577,612.62 × 227,583
  4. Step 4: Simplify right side
    418,564.80x = 131,454,812,897.46
  5. Step 5: Solve for x
    x = 131,454,812,897.46/418,564.80
  6. Step 6: Final answer
    x = 314,060.84

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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.