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Finding the Fourth Proportional to 502,429.92, 693,178.77 and 321,247.90

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Solution

The fourth proportional to 502,429.92, 693,178.77 and 321,247.90 is: 443,210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,429.92 : 693,178.77 = 321,247.90 : x
  2. Step 2: Convert to fraction form
    502,429.92/693,178.77 = 321,247.90/x
  3. Step 3: Cross multiply
    502,429.92x = 693,178.77 × 321,247.90
  4. Step 4: Simplify right side
    502,429.92x = 222,682,224,187.08
  5. Step 5: Solve for x
    x = 222,682,224,187.08/502,429.92
  6. Step 6: Final answer
    x = 443,210.52

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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.