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Finding the Fourth Proportional to 486,539.92, 729,879.72 and 149,608.90

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Solution

The fourth proportional to 486,539.92, 729,879.72 and 149,608.90 is: 224,434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,539.92 : 729,879.72 = 149,608.90 : x
  2. Step 2: Convert to fraction form
    486,539.92/729,879.72 = 149,608.90/x
  3. Step 3: Cross multiply
    486,539.92x = 729,879.72 × 149,608.90
  4. Step 4: Simplify right side
    486,539.92x = 109,196,502,041.51
  5. Step 5: Solve for x
    x = 109,196,502,041.51/486,539.92
  6. Step 6: Final answer
    x = 224,434.83

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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.