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Finding the Fourth Proportional to 286,411.80, 429,601.14 and 96,863.88

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Solution

The fourth proportional to 286,411.80, 429,601.14 and 96,863.88 is: 145,290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,411.80 : 429,601.14 = 96,863.88 : x
  2. Step 2: Convert to fraction form
    286,411.80/429,601.14 = 96,863.88/x
  3. Step 3: Cross multiply
    286,411.80x = 429,601.14 × 96,863.88
  4. Step 4: Simplify right side
    286,411.80x = 41,612,833,272.82
  5. Step 5: Solve for x
    x = 41,612,833,272.82/286,411.80
  6. Step 6: Final answer
    x = 145,290.22

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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.