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Finding the Fourth Proportional to 315,940.42, 474,042.48 and 138,574.72

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Solution

The fourth proportional to 315,940.42, 474,042.48 and 138,574.72 is: 207,919.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,940.42 : 474,042.48 = 138,574.72 : x
  2. Step 2: Convert to fraction form
    315,940.42/474,042.48 = 138,574.72/x
  3. Step 3: Cross multiply
    315,940.42x = 474,042.48 × 138,574.72
  4. Step 4: Simplify right side
    315,940.42x = 65,690,303,934.11
  5. Step 5: Solve for x
    x = 65,690,303,934.11/315,940.42
  6. Step 6: Final answer
    x = 207,919.91

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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.