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Finding the Fourth Proportional to 332,285.80, 498,543.90 and 145,431.40

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Solution

The fourth proportional to 332,285.80, 498,543.90 and 145,431.40 is: 218,197.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,285.80 : 498,543.90 = 145,431.40 : x
  2. Step 2: Convert to fraction form
    332,285.80/498,543.90 = 145,431.40/x
  3. Step 3: Cross multiply
    332,285.80x = 498,543.90 × 145,431.40
  4. Step 4: Simplify right side
    332,285.80x = 72,503,937,338.46
  5. Step 5: Solve for x
    x = 72,503,937,338.46/332,285.80
  6. Step 6: Final answer
    x = 218,197.52

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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.