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Finding the Fourth Proportional to 402,494.77, 603,737.91 and 102,972.97

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Solution

The fourth proportional to 402,494.77, 603,737.91 and 102,972.97 is: 154,458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,494.77 : 603,737.91 = 102,972.97 : x
  2. Step 2: Convert to fraction form
    402,494.77/603,737.91 = 102,972.97/x
  3. Step 3: Cross multiply
    402,494.77x = 603,737.91 × 102,972.97
  4. Step 4: Simplify right side
    402,494.77x = 62,168,685,694.29
  5. Step 5: Solve for x
    x = 62,168,685,694.29/402,494.77
  6. Step 6: Final answer
    x = 154,458.37

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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.