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Finding the Fourth Proportional to 512,870.04, 768,617.38 and 399,155.15

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Solution

The fourth proportional to 512,870.04, 768,617.38 and 399,155.15 is: 598,197.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,870.04 : 768,617.38 = 399,155.15 : x
  2. Step 2: Convert to fraction form
    512,870.04/768,617.38 = 399,155.15/x
  3. Step 3: Cross multiply
    512,870.04x = 768,617.38 × 399,155.15
  4. Step 4: Simplify right side
    512,870.04x = 306,797,585,606.51
  5. Step 5: Solve for x
    x = 306,797,585,606.51/512,870.04
  6. Step 6: Final answer
    x = 598,197.52

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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.