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Finding the Fourth Proportional to 458,989.38, 688,689 and 234,231.48

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Solution

The fourth proportional to 458,989.38, 688,689 and 234,231.48 is: 351,451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,989.38 : 688,689 = 234,231.48 : x
  2. Step 2: Convert to fraction form
    458,989.38/688,689 = 234,231.48/x
  3. Step 3: Cross multiply
    458,989.38x = 688,689 × 234,231.48
  4. Step 4: Simplify right side
    458,989.38x = 161,312,643,729.72
  5. Step 5: Solve for x
    x = 161,312,643,729.72/458,989.38
  6. Step 6: Final answer
    x = 351,451.80

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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.