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Finding the Fourth Proportional to 1,566,949.20, 2,350,861.20 and 768,256.80

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Solution

The fourth proportional to 1,566,949.20, 2,350,861.20 and 768,256.80 is: 1,152,599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566,949.20 : 2,350,861.20 = 768,256.80 : x
  2. Step 2: Convert to fraction form
    1,566,949.20/2,350,861.20 = 768,256.80/x
  3. Step 3: Cross multiply
    1,566,949.20x = 2,350,861.20 × 768,256.80
  4. Step 4: Simplify right side
    1,566,949.20x = 1,806,065,102,756.16
  5. Step 5: Solve for x
    x = 1,806,065,102,756.16/1,566,949.20
  6. Step 6: Final answer
    x = 1,152,599.65

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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.