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Finding the Fourth Proportional to 465,508, 698,302.50 and 128,549.08

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Solution

The fourth proportional to 465,508, 698,302.50 and 128,549.08 is: 192,834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,508 : 698,302.50 = 128,549.08 : x
  2. Step 2: Convert to fraction form
    465,508/698,302.50 = 128,549.08/x
  3. Step 3: Cross multiply
    465,508x = 698,302.50 × 128,549.08
  4. Step 4: Simplify right side
    465,508x = 89,766,143,936.70
  5. Step 5: Solve for x
    x = 89,766,143,936.70/465,508
  6. Step 6: Final answer
    x = 192,834.80

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1.5x scale

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.