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Finding the Fourth Proportional to 643,560, 965,409.12 and 288,732.48

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Solution

The fourth proportional to 643,560, 965,409.12 and 288,732.48 is: 433,129.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,560 : 965,409.12 = 288,732.48 : x
  2. Step 2: Convert to fraction form
    643,560/965,409.12 = 288,732.48/x
  3. Step 3: Cross multiply
    643,560x = 965,409.12 × 288,732.48
  4. Step 4: Simplify right side
    643,560x = 278,744,969,432.22
  5. Step 5: Solve for x
    x = 278,744,969,432.22/643,560
  6. Step 6: Final answer
    x = 433,129.73

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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.