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Finding the Fourth Proportional to 418,384.87, 577,375.64 and 227,398.30

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Solution

The fourth proportional to 418,384.87, 577,375.64 and 227,398.30 is: 313,812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,384.87 : 577,375.64 = 227,398.30 : x
  2. Step 2: Convert to fraction form
    418,384.87/577,375.64 = 227,398.30/x
  3. Step 3: Cross multiply
    418,384.87x = 577,375.64 × 227,398.30
  4. Step 4: Simplify right side
    418,384.87x = 131,294,238,997.41
  5. Step 5: Solve for x
    x = 131,294,238,997.41/418,384.87
  6. Step 6: Final answer
    x = 313,812.11

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1.5x scale

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.