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Finding the Fourth Proportional to 852,342, 1,176,260.16 and 465,178.56

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Solution

The fourth proportional to 852,342, 1,176,260.16 and 465,178.56 is: 641,961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,342 : 1,176,260.16 = 465,178.56 : x
  2. Step 2: Convert to fraction form
    852,342/1,176,260.16 = 465,178.56/x
  3. Step 3: Cross multiply
    852,342x = 1,176,260.16 × 465,178.56
  4. Step 4: Simplify right side
    852,342x = 547,171,007,414.17
  5. Step 5: Solve for x
    x = 547,171,007,414.17/852,342
  6. Step 6: Final answer
    x = 641,961.80

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