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Finding the Fourth Proportional to 418,377.45, 577,358.85 and 227,390.86

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Solution

The fourth proportional to 418,377.45, 577,358.85 and 227,390.86 is: 313,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,377.45 : 577,358.85 = 227,390.86 : x
  2. Step 2: Convert to fraction form
    418,377.45/577,358.85 = 227,390.86/x
  3. Step 3: Cross multiply
    418,377.45x = 577,358.85 × 227,390.86
  4. Step 4: Simplify right side
    418,377.45x = 131,286,127,004.53
  5. Step 5: Solve for x
    x = 131,286,127,004.53/418,377.45
  6. Step 6: Final answer
    x = 313,798.28

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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.