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Finding the Fourth Proportional to 400,471.12, 552,627.66 and 219,182.68

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Solution

The fourth proportional to 400,471.12, 552,627.66 and 219,182.68 is: 302,459.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,471.12 : 552,627.66 = 219,182.68 : x
  2. Step 2: Convert to fraction form
    400,471.12/552,627.66 = 219,182.68/x
  3. Step 3: Cross multiply
    400,471.12x = 552,627.66 × 219,182.68
  4. Step 4: Simplify right side
    400,471.12x = 121,126,411,560.93
  5. Step 5: Solve for x
    x = 121,126,411,560.93/400,471.12
  6. Step 6: Final answer
    x = 302,459.79

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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.