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Finding the Fourth Proportional to 509,193.30, 762,753.15 and 260,015.70

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Solution

The fourth proportional to 509,193.30, 762,753.15 and 260,015.70 is: 389,494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,193.30 : 762,753.15 = 260,015.70 : x
  2. Step 2: Convert to fraction form
    509,193.30/762,753.15 = 260,015.70/x
  3. Step 3: Cross multiply
    509,193.30x = 762,753.15 × 260,015.70
  4. Step 4: Simplify right side
    509,193.30x = 198,327,794,224.46
  5. Step 5: Solve for x
    x = 198,327,794,224.46/509,193.30
  6. Step 6: Final answer
    x = 389,494.12

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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.