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Finding the Fourth Proportional to 418,023.36, 576,876.40 and 227,040.48

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Solution

The fourth proportional to 418,023.36, 576,876.40 and 227,040.48 is: 313,318.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,023.36 : 576,876.40 = 227,040.48 : x
  2. Step 2: Convert to fraction form
    418,023.36/576,876.40 = 227,040.48/x
  3. Step 3: Cross multiply
    418,023.36x = 576,876.40 × 227,040.48
  4. Step 4: Simplify right side
    418,023.36x = 130,974,294,756.67
  5. Step 5: Solve for x
    x = 130,974,294,756.67/418,023.36
  6. Step 6: Final answer
    x = 313,318.12

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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.