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Finding the Fourth Proportional to 410,069.60, 614,989.20 and 129,672.80

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Solution

The fourth proportional to 410,069.60, 614,989.20 and 129,672.80 is: 194,472.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,069.60 : 614,989.20 = 129,672.80 : x
  2. Step 2: Convert to fraction form
    410,069.60/614,989.20 = 129,672.80/x
  3. Step 3: Cross multiply
    410,069.60x = 614,989.20 × 129,672.80
  4. Step 4: Simplify right side
    410,069.60x = 79,747,371,533.76
  5. Step 5: Solve for x
    x = 79,747,371,533.76/410,069.60
  6. Step 6: Final answer
    x = 194,472.77

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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.