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Finding the Fourth Proportional to 291,980.64, 437,933.12 and 92,321.12

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Solution

The fourth proportional to 291,980.64, 437,933.12 and 92,321.12 is: 138,469.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,980.64 : 437,933.12 = 92,321.12 : x
  2. Step 2: Convert to fraction form
    291,980.64/437,933.12 = 92,321.12/x
  3. Step 3: Cross multiply
    291,980.64x = 437,933.12 × 92,321.12
  4. Step 4: Simplify right side
    291,980.64x = 40,430,476,123.49
  5. Step 5: Solve for x
    x = 40,430,476,123.49/291,980.64
  6. Step 6: Final answer
    x = 138,469.72

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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.