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Finding the Fourth Proportional to 286,178.40, 429,271.56 and 86,500.44

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Solution

The fourth proportional to 286,178.40, 429,271.56 and 86,500.44 is: 129,751.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,178.40 : 429,271.56 = 86,500.44 : x
  2. Step 2: Convert to fraction form
    286,178.40/429,271.56 = 86,500.44/x
  3. Step 3: Cross multiply
    286,178.40x = 429,271.56 × 86,500.44
  4. Step 4: Simplify right side
    286,178.40x = 37,132,178,819.49
  5. Step 5: Solve for x
    x = 37,132,178,819.49/286,178.40
  6. Step 6: Final answer
    x = 129,751.86

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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.