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Finding the Fourth Proportional to 512,945.35, 707,842.55 and 283,490.78

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Solution

The fourth proportional to 512,945.35, 707,842.55 and 283,490.78 is: 391,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,945.35 : 707,842.55 = 283,490.78 : x
  2. Step 2: Convert to fraction form
    512,945.35/707,842.55 = 283,490.78/x
  3. Step 3: Cross multiply
    512,945.35x = 707,842.55 × 283,490.78
  4. Step 4: Simplify right side
    512,945.35x = 200,666,833,786.20
  5. Step 5: Solve for x
    x = 200,666,833,786.20/512,945.35
  6. Step 6: Final answer
    x = 391,205.10

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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.