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Finding the Fourth Proportional to 418,885.06, 578,044.26 and 227,898.66

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Solution

The fourth proportional to 418,885.06, 578,044.26 and 227,898.66 is: 314,490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,885.06 : 578,044.26 = 227,898.66 : x
  2. Step 2: Convert to fraction form
    418,885.06/578,044.26 = 227,898.66/x
  3. Step 3: Cross multiply
    418,885.06x = 578,044.26 × 227,898.66
  4. Step 4: Simplify right side
    418,885.06x = 131,735,512,274.69
  5. Step 5: Solve for x
    x = 131,735,512,274.69/418,885.06
  6. Step 6: Final answer
    x = 314,490.83

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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.