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Finding the Fourth Proportional to 516,376.56, 774,868 and 216,834.08

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Solution

The fourth proportional to 516,376.56, 774,868 and 216,834.08 is: 325,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,376.56 : 774,868 = 216,834.08 : x
  2. Step 2: Convert to fraction form
    516,376.56/774,868 = 216,834.08/x
  3. Step 3: Cross multiply
    516,376.56x = 774,868 × 216,834.08
  4. Step 4: Simplify right side
    516,376.56x = 168,017,789,901.44
  5. Step 5: Solve for x
    x = 168,017,789,901.44/516,376.56
  6. Step 6: Final answer
    x = 325,378.42

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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.