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Finding the Fourth Proportional to 261,543.60, 360,919.26 and 148,387.68

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Solution

The fourth proportional to 261,543.60, 360,919.26 and 148,387.68 is: 204,768.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,543.60 : 360,919.26 = 148,387.68 : x
  2. Step 2: Convert to fraction form
    261,543.60/360,919.26 = 148,387.68/x
  3. Step 3: Cross multiply
    261,543.60x = 360,919.26 × 148,387.68
  4. Step 4: Simplify right side
    261,543.60x = 53,555,971,658.72
  5. Step 5: Solve for x
    x = 53,555,971,658.72/261,543.60
  6. Step 6: Final answer
    x = 204,768.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.