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Finding the Fourth Proportional to 402,238.38, 603,357.48 and 102,708.36

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Solution

The fourth proportional to 402,238.38, 603,357.48 and 102,708.36 is: 154,062.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,238.38 : 603,357.48 = 102,708.36 : x
  2. Step 2: Convert to fraction form
    402,238.38/603,357.48 = 102,708.36/x
  3. Step 3: Cross multiply
    402,238.38x = 603,357.48 × 102,708.36
  4. Step 4: Simplify right side
    402,238.38x = 61,969,857,264.53
  5. Step 5: Solve for x
    x = 61,969,857,264.53/402,238.38
  6. Step 6: Final answer
    x = 154,062.52

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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.