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Finding the Fourth Proportional to 418,366.62, 577,342.49 and 227,381.18

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Solution

The fourth proportional to 418,366.62, 577,342.49 and 227,381.18 is: 313,784.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,366.62 : 577,342.49 = 227,381.18 : x
  2. Step 2: Convert to fraction form
    418,366.62/577,342.49 = 227,381.18/x
  3. Step 3: Cross multiply
    418,366.62x = 577,342.49 × 227,381.18
  4. Step 4: Simplify right side
    418,366.62x = 131,276,812,616.72
  5. Step 5: Solve for x
    x = 131,276,812,616.72/418,366.62
  6. Step 6: Final answer
    x = 313,784.15

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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.