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Finding the Fourth Proportional to 458,782.56, 633,175.92 and 289,013.76

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Solution

The fourth proportional to 458,782.56, 633,175.92 and 289,013.76 is: 398,874.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,782.56 : 633,175.92 = 289,013.76 : x
  2. Step 2: Convert to fraction form
    458,782.56/633,175.92 = 289,013.76/x
  3. Step 3: Cross multiply
    458,782.56x = 633,175.92 × 289,013.76
  4. Step 4: Simplify right side
    458,782.56x = 182,996,553,380.66
  5. Step 5: Solve for x
    x = 182,996,553,380.66/458,782.56
  6. Step 6: Final answer
    x = 398,874.26

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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.