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Finding the Fourth Proportional to 418,876.34, 578,032.50 and 227,890.52

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Solution

The fourth proportional to 418,876.34, 578,032.50 and 227,890.52 is: 314,479.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,876.34 : 578,032.50 = 227,890.52 : x
  2. Step 2: Convert to fraction form
    418,876.34/578,032.50 = 227,890.52/x
  3. Step 3: Cross multiply
    418,876.34x = 578,032.50 × 227,890.52
  4. Step 4: Simplify right side
    418,876.34x = 131,728,127,001.90
  5. Step 5: Solve for x
    x = 131,728,127,001.90/418,876.34
  6. Step 6: Final answer
    x = 314,479.75

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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.