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Finding the Fourth Proportional to 418,715.62, 577,830.29 and 227,730.40

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Solution

The fourth proportional to 418,715.62, 577,830.29 and 227,730.40 is: 314,269.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,715.62 : 577,830.29 = 227,730.40 : x
  2. Step 2: Convert to fraction form
    418,715.62/577,830.29 = 227,730.40/x
  3. Step 3: Cross multiply
    418,715.62x = 577,830.29 × 227,730.40
  4. Step 4: Simplify right side
    418,715.62x = 131,589,523,073.82
  5. Step 5: Solve for x
    x = 131,589,523,073.82/418,715.62
  6. Step 6: Final answer
    x = 314,269.44

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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.