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Finding the Fourth Proportional to 665,769, 918,764.46 and 363,963

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Solution

The fourth proportional to 665,769, 918,764.46 and 363,963 is: 502,270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,769 : 918,764.46 = 363,963 : x
  2. Step 2: Convert to fraction form
    665,769/918,764.46 = 363,963/x
  3. Step 3: Cross multiply
    665,769x = 918,764.46 × 363,963
  4. Step 4: Simplify right side
    665,769x = 334,396,269,154.98
  5. Step 5: Solve for x
    x = 334,396,269,154.98/665,769
  6. Step 6: Final answer
    x = 502,270.71

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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.