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Finding the Fourth Proportional to 402,493.77, 603,736.41 and 102,971.97

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Solution

The fourth proportional to 402,493.77, 603,736.41 and 102,971.97 is: 154,456.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,493.77 : 603,736.41 = 102,971.97 : x
  2. Step 2: Convert to fraction form
    402,493.77/603,736.41 = 102,971.97/x
  3. Step 3: Cross multiply
    402,493.77x = 603,736.41 × 102,971.97
  4. Step 4: Simplify right side
    402,493.77x = 62,167,927,498.43
  5. Step 5: Solve for x
    x = 62,167,927,498.43/402,493.77
  6. Step 6: Final answer
    x = 154,456.87

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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.