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Finding the Fourth Proportional to 286,233.70, 429,350.55 and 86,584.90

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Solution

The fourth proportional to 286,233.70, 429,350.55 and 86,584.90 is: 129,877.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,233.70 : 429,350.55 = 86,584.90 : x
  2. Step 2: Convert to fraction form
    286,233.70/429,350.55 = 86,584.90/x
  3. Step 3: Cross multiply
    286,233.70x = 429,350.55 × 86,584.90
  4. Step 4: Simplify right side
    286,233.70x = 37,175,274,436.70
  5. Step 5: Solve for x
    x = 37,175,274,436.70/286,233.70
  6. Step 6: Final answer
    x = 129,877.35

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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.