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Finding the Fourth Proportional to 527,893.28, 728,321.46 and 298,428.38

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Solution

The fourth proportional to 527,893.28, 728,321.46 and 298,428.38 is: 411,734.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,893.28 : 728,321.46 = 298,428.38 : x
  2. Step 2: Convert to fraction form
    527,893.28/728,321.46 = 298,428.38/x
  3. Step 3: Cross multiply
    527,893.28x = 728,321.46 × 298,428.38
  4. Step 4: Simplify right side
    527,893.28x = 217,351,793,427.04
  5. Step 5: Solve for x
    x = 217,351,793,427.04/527,893.28
  6. Step 6: Final answer
    x = 411,734.34

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1.5x scale

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.