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Finding the Fourth Proportional to 397,875.31, 596,819.31 and 221,503.39

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Solution

The fourth proportional to 397,875.31, 596,819.31 and 221,503.39 is: 332,258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,875.31 : 596,819.31 = 221,503.39 : x
  2. Step 2: Convert to fraction form
    397,875.31/596,819.31 = 221,503.39/x
  3. Step 3: Cross multiply
    397,875.31x = 596,819.31 × 221,503.39
  4. Step 4: Simplify right side
    397,875.31x = 132,197,500,382.46
  5. Step 5: Solve for x
    x = 132,197,500,382.46/397,875.31
  6. Step 6: Final answer
    x = 332,258.62

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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.