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Finding the Fourth Proportional to 291,786.78, 437,876.87 and 102,248.85

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Solution

The fourth proportional to 291,786.78, 437,876.87 and 102,248.85 is: 153,442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,786.78 : 437,876.87 = 102,248.85 : x
  2. Step 2: Convert to fraction form
    291,786.78/437,876.87 = 102,248.85/x
  3. Step 3: Cross multiply
    291,786.78x = 437,876.87 × 102,248.85
  4. Step 4: Simplify right side
    291,786.78x = 44,772,406,399.10
  5. Step 5: Solve for x
    x = 44,772,406,399.10/291,786.78
  6. Step 6: Final answer
    x = 153,442.20

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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.