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Finding the Fourth Proportional to 417,144.42, 625,902.66 and 192,384

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Solution

The fourth proportional to 417,144.42, 625,902.66 and 192,384 is: 288,661.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,144.42 : 625,902.66 = 192,384 : x
  2. Step 2: Convert to fraction form
    417,144.42/625,902.66 = 192,384/x
  3. Step 3: Cross multiply
    417,144.42x = 625,902.66 × 192,384
  4. Step 4: Simplify right side
    417,144.42x = 120,413,657,341.44
  5. Step 5: Solve for x
    x = 120,413,657,341.44/417,144.42
  6. Step 6: Final answer
    x = 288,661.80

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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.