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Finding the Fourth Proportional to 286,138.20, 429,401.70 and 159,778.20

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Solution

The fourth proportional to 286,138.20, 429,401.70 and 159,778.20 is: 239,775.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,138.20 : 429,401.70 = 159,778.20 : x
  2. Step 2: Convert to fraction form
    286,138.20/429,401.70 = 159,778.20/x
  3. Step 3: Cross multiply
    286,138.20x = 429,401.70 × 159,778.20
  4. Step 4: Simplify right side
    286,138.20x = 68,609,030,702.94
  5. Step 5: Solve for x
    x = 68,609,030,702.94/286,138.20
  6. Step 6: Final answer
    x = 239,775.85

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1.5x scale

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.