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Finding the Fourth Proportional to 418,756.32, 577,877.76 and 227,771.28

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Solution

The fourth proportional to 418,756.32, 577,877.76 and 227,771.28 is: 314,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,756.32 : 577,877.76 = 227,771.28 : x
  2. Step 2: Convert to fraction form
    418,756.32/577,877.76 = 227,771.28/x
  3. Step 3: Cross multiply
    418,756.32x = 577,877.76 × 227,771.28
  4. Step 4: Simplify right side
    418,756.32x = 131,623,957,078.73
  5. Step 5: Solve for x
    x = 131,623,957,078.73/418,756.32
  6. Step 6: Final answer
    x = 314,321.12

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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.