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Finding the Fourth Proportional to 512,185.80, 768,278.70 and 138,208.20

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Solution

The fourth proportional to 512,185.80, 768,278.70 and 138,208.20 is: 207,312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,185.80 : 768,278.70 = 138,208.20 : x
  2. Step 2: Convert to fraction form
    512,185.80/768,278.70 = 138,208.20/x
  3. Step 3: Cross multiply
    512,185.80x = 768,278.70 × 138,208.20
  4. Step 4: Simplify right side
    512,185.80x = 106,182,416,225.34
  5. Step 5: Solve for x
    x = 106,182,416,225.34/512,185.80
  6. Step 6: Final answer
    x = 207,312.30

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1.5x scale

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.