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Finding the Fourth Proportional to 402,229.06, 603,343.49 and 102,698.89

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Solution

The fourth proportional to 402,229.06, 603,343.49 and 102,698.89 is: 154,048.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,229.06 : 603,343.49 = 102,698.89 : x
  2. Step 2: Convert to fraction form
    402,229.06/603,343.49 = 102,698.89/x
  3. Step 3: Cross multiply
    402,229.06x = 603,343.49 × 102,698.89
  4. Step 4: Simplify right side
    402,229.06x = 61,962,704,689.87
  5. Step 5: Solve for x
    x = 61,962,704,689.87/402,229.06
  6. Step 6: Final answer
    x = 154,048.31

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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.