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Finding the Fourth Proportional to 286,503.26, 429,754.46 and 76,141.22

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Solution

The fourth proportional to 286,503.26, 429,754.46 and 76,141.22 is: 114,211.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,503.26 : 429,754.46 = 76,141.22 : x
  2. Step 2: Convert to fraction form
    286,503.26/429,754.46 = 76,141.22/x
  3. Step 3: Cross multiply
    286,503.26x = 429,754.46 × 76,141.22
  4. Step 4: Simplify right side
    286,503.26x = 32,722,026,355.36
  5. Step 5: Solve for x
    x = 32,722,026,355.36/286,503.26
  6. Step 6: Final answer
    x = 114,211.71

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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.