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Finding the Fourth Proportional to 409,062.76, 612,868.11 and 349,294.48

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Solution

The fourth proportional to 409,062.76, 612,868.11 and 349,294.48 is: 523,321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,062.76 : 612,868.11 = 349,294.48 : x
  2. Step 2: Convert to fraction form
    409,062.76/612,868.11 = 349,294.48/x
  3. Step 3: Cross multiply
    409,062.76x = 612,868.11 × 349,294.48
  4. Step 4: Simplify right side
    409,062.76x = 214,071,447,791.03
  5. Step 5: Solve for x
    x = 214,071,447,791.03/409,062.76
  6. Step 6: Final answer
    x = 523,321.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.