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Finding the Fourth Proportional to 291,205.46, 436,807.89 and 91,543.30

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Solution

The fourth proportional to 291,205.46, 436,807.89 and 91,543.30 is: 137,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,205.46 : 436,807.89 = 91,543.30 : x
  2. Step 2: Convert to fraction form
    291,205.46/436,807.89 = 91,543.30/x
  3. Step 3: Cross multiply
    291,205.46x = 436,807.89 × 91,543.30
  4. Step 4: Simplify right side
    291,205.46x = 39,986,834,624.62
  5. Step 5: Solve for x
    x = 39,986,834,624.62/291,205.46
  6. Step 6: Final answer
    x = 137,314.85

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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.