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Finding the Fourth Proportional to 465,461.25, 698,139.60 and 128,549.80

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Solution

The fourth proportional to 465,461.25, 698,139.60 and 128,549.80 is: 192,810.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,461.25 : 698,139.60 = 128,549.80 : x
  2. Step 2: Convert to fraction form
    465,461.25/698,139.60 = 128,549.80/x
  3. Step 3: Cross multiply
    465,461.25x = 698,139.60 × 128,549.80
  4. Step 4: Simplify right side
    465,461.25x = 89,745,706,704.24
  5. Step 5: Solve for x
    x = 89,745,706,704.24/465,461.25
  6. Step 6: Final answer
    x = 192,810.26

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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.