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Finding the Fourth Proportional to 493,257.60, 740,080.80 and 193,687.20

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Solution

The fourth proportional to 493,257.60, 740,080.80 and 193,687.20 is: 290,607.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,257.60 : 740,080.80 = 193,687.20 : x
  2. Step 2: Convert to fraction form
    493,257.60/740,080.80 = 193,687.20/x
  3. Step 3: Cross multiply
    493,257.60x = 740,080.80 × 193,687.20
  4. Step 4: Simplify right side
    493,257.60x = 143,344,177,925.76
  5. Step 5: Solve for x
    x = 143,344,177,925.76/493,257.60
  6. Step 6: Final answer
    x = 290,607.13

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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.