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Finding the Fourth Proportional to 291,514.96, 437,322.40 and 133,756.96

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Solution

The fourth proportional to 291,514.96, 437,322.40 and 133,756.96 is: 200,658.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,514.96 : 437,322.40 = 133,756.96 : x
  2. Step 2: Convert to fraction form
    291,514.96/437,322.40 = 133,756.96/x
  3. Step 3: Cross multiply
    291,514.96x = 437,322.40 × 133,756.96
  4. Step 4: Simplify right side
    291,514.96x = 58,494,914,763.90
  5. Step 5: Solve for x
    x = 58,494,914,763.90/291,514.96
  6. Step 6: Final answer
    x = 200,658.36

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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.