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Finding the Fourth Proportional to 286,847.70, 429,753.15 and 253,670.10

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Solution

The fourth proportional to 286,847.70, 429,753.15 and 253,670.10 is: 380,046.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,847.70 : 429,753.15 = 253,670.10 : x
  2. Step 2: Convert to fraction form
    286,847.70/429,753.15 = 253,670.10/x
  3. Step 3: Cross multiply
    286,847.70x = 429,753.15 × 253,670.10
  4. Step 4: Simplify right side
    286,847.70x = 109,015,524,535.82
  5. Step 5: Solve for x
    x = 109,015,524,535.82/286,847.70
  6. Step 6: Final answer
    x = 380,046.71

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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.