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Finding the Fourth Proportional to 342,431.19, 472,745.09 and 206,499.57

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Solution

The fourth proportional to 342,431.19, 472,745.09 and 206,499.57 is: 285,084.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,431.19 : 472,745.09 = 206,499.57 : x
  2. Step 2: Convert to fraction form
    342,431.19/472,745.09 = 206,499.57/x
  3. Step 3: Cross multiply
    342,431.19x = 472,745.09 × 206,499.57
  4. Step 4: Simplify right side
    342,431.19x = 97,621,656,772.11
  5. Step 5: Solve for x
    x = 97,621,656,772.11/342,431.19
  6. Step 6: Final answer
    x = 285,084.01

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1.5x scale

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.