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Finding the Fourth Proportional to 391,258.89, 586,491.30 and 222,430.46

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Solution

The fourth proportional to 391,258.89, 586,491.30 and 222,430.46 is: 333,419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,258.89 : 586,491.30 = 222,430.46 : x
  2. Step 2: Convert to fraction form
    391,258.89/586,491.30 = 222,430.46/x
  3. Step 3: Cross multiply
    391,258.89x = 586,491.30 × 222,430.46
  4. Step 4: Simplify right side
    391,258.89x = 130,453,526,712.54
  5. Step 5: Solve for x
    x = 130,453,526,712.54/391,258.89
  6. Step 6: Final answer
    x = 333,419.97

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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.