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Finding the Fourth Proportional to 286,269.88, 429,420.48 and 86,585.44

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Solution

The fourth proportional to 286,269.88, 429,420.48 and 86,585.44 is: 129,882.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,269.88 : 429,420.48 = 86,585.44 : x
  2. Step 2: Convert to fraction form
    286,269.88/429,420.48 = 86,585.44/x
  3. Step 3: Cross multiply
    286,269.88x = 429,420.48 × 86,585.44
  4. Step 4: Simplify right side
    286,269.88x = 37,181,561,205.81
  5. Step 5: Solve for x
    x = 37,181,561,205.81/286,269.88
  6. Step 6: Final answer
    x = 129,882.90

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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.