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Finding the Fourth Proportional to 568,320.64, 784,248.96 and 313,665.28

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Solution

The fourth proportional to 568,320.64, 784,248.96 and 313,665.28 is: 432,839.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,320.64 : 784,248.96 = 313,665.28 : x
  2. Step 2: Convert to fraction form
    568,320.64/784,248.96 = 313,665.28/x
  3. Step 3: Cross multiply
    568,320.64x = 784,248.96 × 313,665.28
  4. Step 4: Simplify right side
    568,320.64x = 245,991,669,628.11
  5. Step 5: Solve for x
    x = 245,991,669,628.11/568,320.64
  6. Step 6: Final answer
    x = 432,839.58

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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.