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Finding the Fourth Proportional to 291,874.93, 437,776.16 and 78,659.52

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Solution

The fourth proportional to 291,874.93, 437,776.16 and 78,659.52 is: 117,979.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,874.93 : 437,776.16 = 78,659.52 : x
  2. Step 2: Convert to fraction form
    291,874.93/437,776.16 = 78,659.52/x
  3. Step 3: Cross multiply
    291,874.93x = 437,776.16 × 78,659.52
  4. Step 4: Simplify right side
    291,874.93x = 34,435,262,219.75
  5. Step 5: Solve for x
    x = 34,435,262,219.75/291,874.93
  6. Step 6: Final answer
    x = 117,979.51

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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.