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Finding the Fourth Proportional to 643,211.80, 964,864.14 and 169,891

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Solution

The fourth proportional to 643,211.80, 964,864.14 and 169,891 is: 254,848.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,211.80 : 964,864.14 = 169,891 : x
  2. Step 2: Convert to fraction form
    643,211.80/964,864.14 = 169,891/x
  3. Step 3: Cross multiply
    643,211.80x = 964,864.14 × 169,891
  4. Step 4: Simplify right side
    643,211.80x = 163,921,733,608.74
  5. Step 5: Solve for x
    x = 163,921,733,608.74/643,211.80
  6. Step 6: Final answer
    x = 254,848.77

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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.