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Finding the Fourth Proportional to 418,665.42, 577,752.84 and 227,674.71

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Solution

The fourth proportional to 418,665.42, 577,752.84 and 227,674.71 is: 314,188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,665.42 : 577,752.84 = 227,674.71 : x
  2. Step 2: Convert to fraction form
    418,665.42/577,752.84 = 227,674.71/x
  3. Step 3: Cross multiply
    418,665.42x = 577,752.84 × 227,674.71
  4. Step 4: Simplify right side
    418,665.42x = 131,539,710,298.68
  5. Step 5: Solve for x
    x = 131,539,710,298.68/418,665.42
  6. Step 6: Final answer
    x = 314,188.14

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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.