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Finding the Fourth Proportional to 568,315.64, 784,273.96 and 313,665

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Solution

The fourth proportional to 568,315.64, 784,273.96 and 313,665 is: 432,856.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,315.64 : 784,273.96 = 313,665 : x
  2. Step 2: Convert to fraction form
    568,315.64/784,273.96 = 313,665/x
  3. Step 3: Cross multiply
    568,315.64x = 784,273.96 × 313,665
  4. Step 4: Simplify right side
    568,315.64x = 245,999,291,663.40
  5. Step 5: Solve for x
    x = 245,999,291,663.40/568,315.64
  6. Step 6: Final answer
    x = 432,856.80

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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.