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Finding the Fourth Proportional to 691,896, 954,321.12 and 449,726.88

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Solution

The fourth proportional to 691,896, 954,321.12 and 449,726.88 is: 620,301.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,896 : 954,321.12 = 449,726.88 : x
  2. Step 2: Convert to fraction form
    691,896/954,321.12 = 449,726.88/x
  3. Step 3: Cross multiply
    691,896x = 954,321.12 × 449,726.88
  4. Step 4: Simplify right side
    691,896x = 429,183,859,815.71
  5. Step 5: Solve for x
    x = 429,183,859,815.71/691,896
  6. Step 6: Final answer
    x = 620,301.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.