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Finding the Fourth Proportional to 768,907.80, 1,153,274.16 and 207,898.56

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Solution

The fourth proportional to 768,907.80, 1,153,274.16 and 207,898.56 is: 311,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,907.80 : 1,153,274.16 = 207,898.56 : x
  2. Step 2: Convert to fraction form
    768,907.80/1,153,274.16 = 207,898.56/x
  3. Step 3: Cross multiply
    768,907.80x = 1,153,274.16 × 207,898.56
  4. Step 4: Simplify right side
    768,907.80x = 239,764,037,149.21
  5. Step 5: Solve for x
    x = 239,764,037,149.21/768,907.80
  6. Step 6: Final answer
    x = 311,824.17

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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.