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Finding the Fourth Proportional to 342,704.51, 514,179.77 and 153,149.03

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Solution

The fourth proportional to 342,704.51, 514,179.77 and 153,149.03 is: 229,778.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,704.51 : 514,179.77 = 153,149.03 : x
  2. Step 2: Convert to fraction form
    342,704.51/514,179.77 = 153,149.03/x
  3. Step 3: Cross multiply
    342,704.51x = 514,179.77 × 153,149.03
  4. Step 4: Simplify right side
    342,704.51x = 78,746,129,684.48
  5. Step 5: Solve for x
    x = 78,746,129,684.48/342,704.51
  6. Step 6: Final answer
    x = 229,778.51

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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.