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Finding the Fourth Proportional to 286,294.04, 429,385.65 and 86,567.61

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Solution

The fourth proportional to 286,294.04, 429,385.65 and 86,567.61 is: 129,834.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,294.04 : 429,385.65 = 86,567.61 : x
  2. Step 2: Convert to fraction form
    286,294.04/429,385.65 = 86,567.61/x
  3. Step 3: Cross multiply
    286,294.04x = 429,385.65 × 86,567.61
  4. Step 4: Simplify right side
    286,294.04x = 37,170,889,488.80
  5. Step 5: Solve for x
    x = 37,170,889,488.80/286,294.04
  6. Step 6: Final answer
    x = 129,834.66

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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.