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Finding the Fourth Proportional to 568,341.28, 784,305.95 and 313,687

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Solution

The fourth proportional to 568,341.28, 784,305.95 and 313,687 is: 432,885.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,341.28 : 784,305.95 = 313,687 : x
  2. Step 2: Convert to fraction form
    568,341.28/784,305.95 = 313,687/x
  3. Step 3: Cross multiply
    568,341.28x = 784,305.95 × 313,687
  4. Step 4: Simplify right side
    568,341.28x = 246,026,580,537.65
  5. Step 5: Solve for x
    x = 246,026,580,537.65/568,341.28
  6. Step 6: Final answer
    x = 432,885.29

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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.