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Finding the Fourth Proportional to 643,808.25, 965,479.10 and 288,639.45

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Solution

The fourth proportional to 643,808.25, 965,479.10 and 288,639.45 is: 432,854.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,808.25 : 965,479.10 = 288,639.45 : x
  2. Step 2: Convert to fraction form
    643,808.25/965,479.10 = 288,639.45/x
  3. Step 3: Cross multiply
    643,808.25x = 965,479.10 × 288,639.45
  4. Step 4: Simplify right side
    643,808.25x = 278,675,354,967.30
  5. Step 5: Solve for x
    x = 278,675,354,967.30/643,808.25
  6. Step 6: Final answer
    x = 432,854.59

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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.