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Finding the Fourth Proportional to 288,456.90, 432,685.66 and 75,224.66

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Solution

The fourth proportional to 288,456.90, 432,685.66 and 75,224.66 is: 112,837.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,456.90 : 432,685.66 = 75,224.66 : x
  2. Step 2: Convert to fraction form
    288,456.90/432,685.66 = 75,224.66/x
  3. Step 3: Cross multiply
    288,456.90x = 432,685.66 × 75,224.66
  4. Step 4: Simplify right side
    288,456.90x = 32,548,631,660.38
  5. Step 5: Solve for x
    x = 32,548,631,660.38/288,456.90
  6. Step 6: Final answer
    x = 112,837.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.