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Finding the Fourth Proportional to 291,886.44, 437,793.41 and 78,671.00

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Solution

The fourth proportional to 291,886.44, 437,793.41 and 78,671.00 is: 117,996.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,886.44 : 437,793.41 = 78,671.00 : x
  2. Step 2: Convert to fraction form
    291,886.44/437,793.41 = 78,671.00/x
  3. Step 3: Cross multiply
    291,886.44x = 437,793.41 × 78,671.00
  4. Step 4: Simplify right side
    291,886.44x = 34,441,643,744.16
  5. Step 5: Solve for x
    x = 34,441,643,744.16/291,886.44
  6. Step 6: Final answer
    x = 117,996.73

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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.