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Finding the Fourth Proportional to 512,810.04, 707,662.96 and 283,363.68

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Solution

The fourth proportional to 512,810.04, 707,662.96 and 283,363.68 is: 391,033.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,810.04 : 707,662.96 = 283,363.68 : x
  2. Step 2: Convert to fraction form
    512,810.04/707,662.96 = 283,363.68/x
  3. Step 3: Cross multiply
    512,810.04x = 707,662.96 × 283,363.68
  4. Step 4: Simplify right side
    512,810.04x = 200,525,980,545.29
  5. Step 5: Solve for x
    x = 200,525,980,545.29/512,810.04
  6. Step 6: Final answer
    x = 391,033.65

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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.