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Finding the Fourth Proportional to 552,806.40, 762,854.40 and 311,093.76

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Solution

The fourth proportional to 552,806.40, 762,854.40 and 311,093.76 is: 429,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,806.40 : 762,854.40 = 311,093.76 : x
  2. Step 2: Convert to fraction form
    552,806.40/762,854.40 = 311,093.76/x
  3. Step 3: Cross multiply
    552,806.40x = 762,854.40 × 311,093.76
  4. Step 4: Simplify right side
    552,806.40x = 237,319,243,628.54
  5. Step 5: Solve for x
    x = 237,319,243,628.54/552,806.40
  6. Step 6: Final answer
    x = 429,299.02

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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.