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Finding the Fourth Proportional to 512,842.80, 769,264.20 and 138,865.20

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Solution

The fourth proportional to 512,842.80, 769,264.20 and 138,865.20 is: 208,297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,842.80 : 769,264.20 = 138,865.20 : x
  2. Step 2: Convert to fraction form
    512,842.80/769,264.20 = 138,865.20/x
  3. Step 3: Cross multiply
    512,842.80x = 769,264.20 × 138,865.20
  4. Step 4: Simplify right side
    512,842.80x = 106,824,026,985.84
  5. Step 5: Solve for x
    x = 106,824,026,985.84/512,842.80
  6. Step 6: Final answer
    x = 208,297.80

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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.