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Finding the Fourth Proportional to 614,121.96, 847,462.86 and 342,175.80

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Solution

The fourth proportional to 614,121.96, 847,462.86 and 342,175.80 is: 472,188.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,121.96 : 847,462.86 = 342,175.80 : x
  2. Step 2: Convert to fraction form
    614,121.96/847,462.86 = 342,175.80/x
  3. Step 3: Cross multiply
    614,121.96x = 847,462.86 × 342,175.80
  4. Step 4: Simplify right side
    614,121.96x = 289,981,282,090.79
  5. Step 5: Solve for x
    x = 289,981,282,090.79/614,121.96
  6. Step 6: Final answer
    x = 472,188.43

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1.5x scale

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.