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Finding the Fourth Proportional to 643,215.30, 964,869.40 and 169,894.50

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Solution

The fourth proportional to 643,215.30, 964,869.40 and 169,894.50 is: 254,854.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,215.30 : 964,869.40 = 169,894.50 : x
  2. Step 2: Convert to fraction form
    643,215.30/964,869.40 = 169,894.50/x
  3. Step 3: Cross multiply
    643,215.30x = 964,869.40 × 169,894.50
  4. Step 4: Simplify right side
    643,215.30x = 163,926,004,278.30
  5. Step 5: Solve for x
    x = 163,926,004,278.30/643,215.30
  6. Step 6: Final answer
    x = 254,854.02

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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.