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Finding the Fourth Proportional to 659,409.60, 988,336.80 and 493,003.20

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Solution

The fourth proportional to 659,409.60, 988,336.80 and 493,003.20 is: 738,923.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,409.60 : 988,336.80 = 493,003.20 : x
  2. Step 2: Convert to fraction form
    659,409.60/988,336.80 = 493,003.20/x
  3. Step 3: Cross multiply
    659,409.60x = 988,336.80 × 493,003.20
  4. Step 4: Simplify right side
    659,409.60x = 487,253,205,077.76
  5. Step 5: Solve for x
    x = 487,253,205,077.76/659,409.60
  6. Step 6: Final answer
    x = 738,923.43

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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.