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Finding the Fourth Proportional to 465,510, 698,305.50 and 128,551.08

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Solution

The fourth proportional to 465,510, 698,305.50 and 128,551.08 is: 192,837.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,510 : 698,305.50 = 128,551.08 : x
  2. Step 2: Convert to fraction form
    465,510/698,305.50 = 128,551.08/x
  3. Step 3: Cross multiply
    465,510x = 698,305.50 × 128,551.08
  4. Step 4: Simplify right side
    465,510x = 89,767,926,194.94
  5. Step 5: Solve for x
    x = 89,767,926,194.94/465,510
  6. Step 6: Final answer
    x = 192,837.80

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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.