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Finding the Fourth Proportional to 650,409.57, 897,458.13 and 408,519.86

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Solution

The fourth proportional to 650,409.57, 897,458.13 and 408,519.86 is: 563,690.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,409.57 : 897,458.13 = 408,519.86 : x
  2. Step 2: Convert to fraction form
    650,409.57/897,458.13 = 408,519.86/x
  3. Step 3: Cross multiply
    650,409.57x = 897,458.13 × 408,519.86
  4. Step 4: Simplify right side
    650,409.57x = 366,629,465,136.17
  5. Step 5: Solve for x
    x = 366,629,465,136.17/650,409.57
  6. Step 6: Final answer
    x = 563,690.15

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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.