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Finding the Fourth Proportional to 291,753.12, 437,454.72 and 133,783.68

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Solution

The fourth proportional to 291,753.12, 437,454.72 and 133,783.68 is: 200,595.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,753.12 : 437,454.72 = 133,783.68 : x
  2. Step 2: Convert to fraction form
    291,753.12/437,454.72 = 133,783.68/x
  3. Step 3: Cross multiply
    291,753.12x = 437,454.72 × 133,783.68
  4. Step 4: Simplify right side
    291,753.12x = 58,524,302,274.97
  5. Step 5: Solve for x
    x = 58,524,302,274.97/291,753.12
  6. Step 6: Final answer
    x = 200,595.29

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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.