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Finding the Fourth Proportional to 458,938.88, 688,561.92 and 234,201.60

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Solution

The fourth proportional to 458,938.88, 688,561.92 and 234,201.60 is: 351,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,938.88 : 688,561.92 = 234,201.60 : x
  2. Step 2: Convert to fraction form
    458,938.88/688,561.92 = 234,201.60/x
  3. Step 3: Cross multiply
    458,938.88x = 688,561.92 × 234,201.60
  4. Step 4: Simplify right side
    458,938.88x = 161,262,303,363.07
  5. Step 5: Solve for x
    x = 161,262,303,363.07/458,938.88
  6. Step 6: Final answer
    x = 351,380.78

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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.