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Finding the Fourth Proportional to 410,140.26, 615,206.70 and 129,657.60

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Solution

The fourth proportional to 410,140.26, 615,206.70 and 129,657.60 is: 194,485.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,140.26 : 615,206.70 = 129,657.60 : x
  2. Step 2: Convert to fraction form
    410,140.26/615,206.70 = 129,657.60/x
  3. Step 3: Cross multiply
    410,140.26x = 615,206.70 × 129,657.60
  4. Step 4: Simplify right side
    410,140.26x = 79,766,224,225.92
  5. Step 5: Solve for x
    x = 79,766,224,225.92/410,140.26
  6. Step 6: Final answer
    x = 194,485.23

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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.