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Finding the Fourth Proportional to 643,358.68, 965,082.97 and 264,298.52

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Solution

The fourth proportional to 643,358.68, 965,082.97 and 264,298.52 is: 396,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,358.68 : 965,082.97 = 264,298.52 : x
  2. Step 2: Convert to fraction form
    643,358.68/965,082.97 = 264,298.52/x
  3. Step 3: Cross multiply
    643,358.68x = 965,082.97 × 264,298.52
  4. Step 4: Simplify right side
    643,358.68x = 255,070,003,391.29
  5. Step 5: Solve for x
    x = 255,070,003,391.29/643,358.68
  6. Step 6: Final answer
    x = 396,466.25

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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.