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Finding the Fourth Proportional to 568,388.68, 784,320.53 and 313,723.46

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Solution

The fourth proportional to 568,388.68, 784,320.53 and 313,723.46 is: 432,907.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,388.68 : 784,320.53 = 313,723.46 : x
  2. Step 2: Convert to fraction form
    568,388.68/784,320.53 = 313,723.46/x
  3. Step 3: Cross multiply
    568,388.68x = 784,320.53 × 313,723.46
  4. Step 4: Simplify right side
    568,388.68x = 246,059,750,812.82
  5. Step 5: Solve for x
    x = 246,059,750,812.82/568,388.68
  6. Step 6: Final answer
    x = 432,907.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.