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Finding the Fourth Proportional to 418,876.74, 578,043.54 and 227,885.76

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Solution

The fourth proportional to 418,876.74, 578,043.54 and 227,885.76 is: 314,478.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,876.74 : 578,043.54 = 227,885.76 : x
  2. Step 2: Convert to fraction form
    418,876.74/578,043.54 = 227,885.76/x
  3. Step 3: Cross multiply
    418,876.74x = 578,043.54 × 227,885.76
  4. Step 4: Simplify right side
    418,876.74x = 131,727,891,425.99
  5. Step 5: Solve for x
    x = 131,727,891,425.99/418,876.74
  6. Step 6: Final answer
    x = 314,478.89

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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.