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Finding the Fourth Proportional to 291,463.80, 437,109.30 and 113,868.60

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Solution

The fourth proportional to 291,463.80, 437,109.30 and 113,868.60 is: 170,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,463.80 : 437,109.30 = 113,868.60 : x
  2. Step 2: Convert to fraction form
    291,463.80/437,109.30 = 113,868.60/x
  3. Step 3: Cross multiply
    291,463.80x = 437,109.30 × 113,868.60
  4. Step 4: Simplify right side
    291,463.80x = 49,773,024,037.98
  5. Step 5: Solve for x
    x = 49,773,024,037.98/291,463.80
  6. Step 6: Final answer
    x = 170,769.15

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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.