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Finding the Fourth Proportional to 400,693.72, 552,932.88 and 219,407.80

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Solution

The fourth proportional to 400,693.72, 552,932.88 and 219,407.80 is: 302,769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,693.72 : 552,932.88 = 219,407.80 : x
  2. Step 2: Convert to fraction form
    400,693.72/552,932.88 = 219,407.80/x
  3. Step 3: Cross multiply
    400,693.72x = 552,932.88 × 219,407.80
  4. Step 4: Simplify right side
    400,693.72x = 121,317,786,748.46
  5. Step 5: Solve for x
    x = 121,317,786,748.46/400,693.72
  6. Step 6: Final answer
    x = 302,769.37

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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.