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Finding the Fourth Proportional to 326,854.30, 450,929.24 and 189,007.76

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Solution

The fourth proportional to 326,854.30, 450,929.24 and 189,007.76 is: 260,755.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,854.30 : 450,929.24 = 189,007.76 : x
  2. Step 2: Convert to fraction form
    326,854.30/450,929.24 = 189,007.76/x
  3. Step 3: Cross multiply
    326,854.30x = 450,929.24 × 189,007.76
  4. Step 4: Simplify right side
    326,854.30x = 85,229,123,076.84
  5. Step 5: Solve for x
    x = 85,229,123,076.84/326,854.30
  6. Step 6: Final answer
    x = 260,755.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.