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Finding the Fourth Proportional to 267,350.46, 401,005.50 and 77,812.30

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Solution

The fourth proportional to 267,350.46, 401,005.50 and 77,812.30 is: 116,712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,350.46 : 401,005.50 = 77,812.30 : x
  2. Step 2: Convert to fraction form
    267,350.46/401,005.50 = 77,812.30/x
  3. Step 3: Cross multiply
    267,350.46x = 401,005.50 × 77,812.30
  4. Step 4: Simplify right side
    267,350.46x = 31,203,160,267.65
  5. Step 5: Solve for x
    x = 31,203,160,267.65/267,350.46
  6. Step 6: Final answer
    x = 116,712.57

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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.