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Finding the Fourth Proportional to 643,686.60, 965,614.70 and 238,823.72

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Solution

The fourth proportional to 643,686.60, 965,614.70 and 238,823.72 is: 358,267.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,686.60 : 965,614.70 = 238,823.72 : x
  2. Step 2: Convert to fraction form
    643,686.60/965,614.70 = 238,823.72/x
  3. Step 3: Cross multiply
    643,686.60x = 965,614.70 × 238,823.72
  4. Step 4: Simplify right side
    643,686.60x = 230,611,694,740.68
  5. Step 5: Solve for x
    x = 230,611,694,740.68/643,686.60
  6. Step 6: Final answer
    x = 358,267.04

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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.