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Finding the Fourth Proportional to 516,974.25, 775,517 and 217,485.30

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Solution

The fourth proportional to 516,974.25, 775,517 and 217,485.30 is: 326,251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,974.25 : 775,517 = 217,485.30 : x
  2. Step 2: Convert to fraction form
    516,974.25/775,517 = 217,485.30/x
  3. Step 3: Cross multiply
    516,974.25x = 775,517 × 217,485.30
  4. Step 4: Simplify right side
    516,974.25x = 168,663,547,400.10
  5. Step 5: Solve for x
    x = 168,663,547,400.10/516,974.25
  6. Step 6: Final answer
    x = 326,251.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.