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Finding the Fourth Proportional to 418,441.80, 577,442.88 and 227,460

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Solution

The fourth proportional to 418,441.80, 577,442.88 and 227,460 is: 313,891.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,441.80 : 577,442.88 = 227,460 : x
  2. Step 2: Convert to fraction form
    418,441.80/577,442.88 = 227,460/x
  3. Step 3: Cross multiply
    418,441.80x = 577,442.88 × 227,460
  4. Step 4: Simplify right side
    418,441.80x = 131,345,157,484.80
  5. Step 5: Solve for x
    x = 131,345,157,484.80/418,441.80
  6. Step 6: Final answer
    x = 313,891.10

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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.