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Finding the Fourth Proportional to 502,663.32, 693,837.09 and 321,862.41

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Solution

The fourth proportional to 502,663.32, 693,837.09 and 321,862.41 is: 444,273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,663.32 : 693,837.09 = 321,862.41 : x
  2. Step 2: Convert to fraction form
    502,663.32/693,837.09 = 321,862.41/x
  3. Step 3: Cross multiply
    502,663.32x = 693,837.09 × 321,862.41
  4. Step 4: Simplify right side
    502,663.32x = 223,320,077,934.79
  5. Step 5: Solve for x
    x = 223,320,077,934.79/502,663.32
  6. Step 6: Final answer
    x = 444,273.67

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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.