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Finding the Fourth Proportional to 578,506.56, 868,373.28 and 512,376

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Solution

The fourth proportional to 578,506.56, 868,373.28 and 512,376 is: 769,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,506.56 : 868,373.28 = 512,376 : x
  2. Step 2: Convert to fraction form
    578,506.56/868,373.28 = 512,376/x
  3. Step 3: Cross multiply
    578,506.56x = 868,373.28 × 512,376
  4. Step 4: Simplify right side
    578,506.56x = 444,933,627,713.28
  5. Step 5: Solve for x
    x = 444,933,627,713.28/578,506.56
  6. Step 6: Final answer
    x = 769,107.32

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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.