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Finding the Fourth Proportional to 418,397.80, 577,389.70 and 227,410.68

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Solution

The fourth proportional to 418,397.80, 577,389.70 and 227,410.68 is: 313,827.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,397.80 : 577,389.70 = 227,410.68 : x
  2. Step 2: Convert to fraction form
    418,397.80/577,389.70 = 227,410.68/x
  3. Step 3: Cross multiply
    418,397.80x = 577,389.70 × 227,410.68
  4. Step 4: Simplify right side
    418,397.80x = 131,304,584,302.00
  5. Step 5: Solve for x
    x = 131,304,584,302.00/418,397.80
  6. Step 6: Final answer
    x = 313,827.14

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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.