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Finding the Fourth Proportional to 527,894.28, 728,322.84 and 298,429.38

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Solution

The fourth proportional to 527,894.28, 728,322.84 and 298,429.38 is: 411,735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,894.28 : 728,322.84 = 298,429.38 : x
  2. Step 2: Convert to fraction form
    527,894.28/728,322.84 = 298,429.38/x
  3. Step 3: Cross multiply
    527,894.28x = 728,322.84 × 298,429.38
  4. Step 4: Simplify right side
    527,894.28x = 217,352,933,581.04
  5. Step 5: Solve for x
    x = 217,352,933,581.04/527,894.28
  6. Step 6: Final answer
    x = 411,735.72

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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.