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Finding the Fourth Proportional to 286,517.90, 429,776.85 and 286,517.90

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Solution

The fourth proportional to 286,517.90, 429,776.85 and 286,517.90 is: 429,776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,517.90 : 429,776.85 = 286,517.90 : x
  2. Step 2: Convert to fraction form
    286,517.90/429,776.85 = 286,517.90/x
  3. Step 3: Cross multiply
    286,517.90x = 429,776.85 × 286,517.90
  4. Step 4: Simplify right side
    286,517.90x = 123,138,760,530.62
  5. Step 5: Solve for x
    x = 123,138,760,530.62/286,517.90
  6. Step 6: Final answer
    x = 429,776.85

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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.