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Finding the Fourth Proportional to 512,698.41, 768,542.18 and 180,041.13

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Solution

The fourth proportional to 512,698.41, 768,542.18 and 180,041.13 is: 269,884.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,698.41 : 768,542.18 = 180,041.13 : x
  2. Step 2: Convert to fraction form
    512,698.41/768,542.18 = 180,041.13/x
  3. Step 3: Cross multiply
    512,698.41x = 768,542.18 × 180,041.13
  4. Step 4: Simplify right side
    512,698.41x = 138,369,201,639.66
  5. Step 5: Solve for x
    x = 138,369,201,639.66/512,698.41
  6. Step 6: Final answer
    x = 269,884.20

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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.