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Finding the Fourth Proportional to 402,223.75, 603,335.30 and 102,704.38

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Solution

The fourth proportional to 402,223.75, 603,335.30 and 102,704.38 is: 154,056.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,223.75 : 603,335.30 = 102,704.38 : x
  2. Step 2: Convert to fraction form
    402,223.75/603,335.30 = 102,704.38/x
  3. Step 3: Cross multiply
    402,223.75x = 603,335.30 × 102,704.38
  4. Step 4: Simplify right side
    402,223.75x = 61,965,177,918.61
  5. Step 5: Solve for x
    x = 61,965,177,918.61/402,223.75
  6. Step 6: Final answer
    x = 154,056.49

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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.