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Finding the Fourth Proportional to 509,176.80, 762,728.40 and 259,999.20

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Solution

The fourth proportional to 509,176.80, 762,728.40 and 259,999.20 is: 389,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,176.80 : 762,728.40 = 259,999.20 : x
  2. Step 2: Convert to fraction form
    509,176.80/762,728.40 = 259,999.20/x
  3. Step 3: Cross multiply
    509,176.80x = 762,728.40 × 259,999.20
  4. Step 4: Simplify right side
    509,176.80x = 198,308,773,817.28
  5. Step 5: Solve for x
    x = 198,308,773,817.28/509,176.80
  6. Step 6: Final answer
    x = 389,469.38

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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.