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Finding the Fourth Proportional to 486,191.92, 729,289.60 and 149,232.60

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Solution

The fourth proportional to 486,191.92, 729,289.60 and 149,232.60 is: 223,849.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,191.92 : 729,289.60 = 149,232.60 : x
  2. Step 2: Convert to fraction form
    486,191.92/729,289.60 = 149,232.60/x
  3. Step 3: Cross multiply
    486,191.92x = 729,289.60 × 149,232.60
  4. Step 4: Simplify right side
    486,191.92x = 108,833,779,514.51
  5. Step 5: Solve for x
    x = 108,833,779,514.51/486,191.92
  6. Step 6: Final answer
    x = 223,849.42

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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.