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Finding the Fourth Proportional to 465,512, 698,308.50 and 128,553.08

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Solution

The fourth proportional to 465,512, 698,308.50 and 128,553.08 is: 192,840.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,512 : 698,308.50 = 128,553.08 : x
  2. Step 2: Convert to fraction form
    465,512/698,308.50 = 128,553.08/x
  3. Step 3: Cross multiply
    465,512x = 698,308.50 × 128,553.08
  4. Step 4: Simplify right side
    465,512x = 89,769,708,465.18
  5. Step 5: Solve for x
    x = 89,769,708,465.18/465,512
  6. Step 6: Final answer
    x = 192,840.80

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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.