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Finding the Fourth Proportional to 458,391.88, 632,591.70 and 257,202.76

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Solution

The fourth proportional to 458,391.88, 632,591.70 and 257,202.76 is: 354,945.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,391.88 : 632,591.70 = 257,202.76 : x
  2. Step 2: Convert to fraction form
    458,391.88/632,591.70 = 257,202.76/x
  3. Step 3: Cross multiply
    458,391.88x = 632,591.70 × 257,202.76
  4. Step 4: Simplify right side
    458,391.88x = 162,704,331,193.09
  5. Step 5: Solve for x
    x = 162,704,331,193.09/458,391.88
  6. Step 6: Final answer
    x = 354,945.93

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1.5x scale

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.