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Finding the Fourth Proportional to 512,945.16, 707,842.29 and 283,490.59

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Solution

The fourth proportional to 512,945.16, 707,842.29 and 283,490.59 is: 391,204.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,945.16 : 707,842.29 = 283,490.59 : x
  2. Step 2: Convert to fraction form
    512,945.16/707,842.29 = 283,490.59/x
  3. Step 3: Cross multiply
    512,945.16x = 707,842.29 × 283,490.59
  4. Step 4: Simplify right side
    512,945.16x = 200,666,627,712.54
  5. Step 5: Solve for x
    x = 200,666,627,712.54/512,945.16
  6. Step 6: Final answer
    x = 391,204.84

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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.