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Finding the Fourth Proportional to 291,412.08, 437,191.02 and 91,724.40

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Solution

The fourth proportional to 291,412.08, 437,191.02 and 91,724.40 is: 137,609.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,412.08 : 437,191.02 = 91,724.40 : x
  2. Step 2: Convert to fraction form
    291,412.08/437,191.02 = 91,724.40/x
  3. Step 3: Cross multiply
    291,412.08x = 437,191.02 × 91,724.40
  4. Step 4: Simplify right side
    291,412.08x = 40,101,083,994.89
  5. Step 5: Solve for x
    x = 40,101,083,994.89/291,412.08
  6. Step 6: Final answer
    x = 137,609.55

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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.