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Finding the Fourth Proportional to 345,040.16, 476,129.76 and 194,108

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Solution

The fourth proportional to 345,040.16, 476,129.76 and 194,108 is: 267,854.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,040.16 : 476,129.76 = 194,108 : x
  2. Step 2: Convert to fraction form
    345,040.16/476,129.76 = 194,108/x
  3. Step 3: Cross multiply
    345,040.16x = 476,129.76 × 194,108
  4. Step 4: Simplify right side
    345,040.16x = 92,420,595,454.08
  5. Step 5: Solve for x
    x = 92,420,595,454.08/345,040.16
  6. Step 6: Final answer
    x = 267,854.60

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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.