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Finding the Fourth Proportional to 291,642.08, 437,524.12 and 123,162.80

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Solution

The fourth proportional to 291,642.08, 437,524.12 and 123,162.80 is: 184,769.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,642.08 : 437,524.12 = 123,162.80 : x
  2. Step 2: Convert to fraction form
    291,642.08/437,524.12 = 123,162.80/x
  3. Step 3: Cross multiply
    291,642.08x = 437,524.12 × 123,162.80
  4. Step 4: Simplify right side
    291,642.08x = 53,886,695,686.74
  5. Step 5: Solve for x
    x = 53,886,695,686.74/291,642.08
  6. Step 6: Final answer
    x = 184,769.96

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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.