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Finding the Fourth Proportional to 415,758.40, 624,002.10 and 247,067.80

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Solution

The fourth proportional to 415,758.40, 624,002.10 and 247,067.80 is: 370,818.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,758.40 : 624,002.10 = 247,067.80 : x
  2. Step 2: Convert to fraction form
    415,758.40/624,002.10 = 247,067.80/x
  3. Step 3: Cross multiply
    415,758.40x = 624,002.10 × 247,067.80
  4. Step 4: Simplify right side
    415,758.40x = 154,170,826,042.38
  5. Step 5: Solve for x
    x = 154,170,826,042.38/415,758.40
  6. Step 6: Final answer
    x = 370,818.31

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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.