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Finding the Fourth Proportional to 458,309.04, 687,500.46 and 174,135.78

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Solution

The fourth proportional to 458,309.04, 687,500.46 and 174,135.78 is: 261,217.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,309.04 : 687,500.46 = 174,135.78 : x
  2. Step 2: Convert to fraction form
    458,309.04/687,500.46 = 174,135.78/x
  3. Step 3: Cross multiply
    458,309.04x = 687,500.46 × 174,135.78
  4. Step 4: Simplify right side
    458,309.04x = 119,718,428,852.46
  5. Step 5: Solve for x
    x = 119,718,428,852.46/458,309.04
  6. Step 6: Final answer
    x = 261,217.69

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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.