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Finding the Fourth Proportional to 465,405, 698,147.70 and 128,445.71

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Solution

The fourth proportional to 465,405, 698,147.70 and 128,445.71 is: 192,679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,405 : 698,147.70 = 128,445.71 : x
  2. Step 2: Convert to fraction form
    465,405/698,147.70 = 128,445.71/x
  3. Step 3: Cross multiply
    465,405x = 698,147.70 × 128,445.71
  4. Step 4: Simplify right side
    465,405x = 89,674,073,520.63
  5. Step 5: Solve for x
    x = 89,674,073,520.63/465,405
  6. Step 6: Final answer
    x = 192,679.65

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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.