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Finding the Fourth Proportional to 342,438.77, 472,755.53 and 206,507.15

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Solution

The fourth proportional to 342,438.77, 472,755.53 and 206,507.15 is: 285,094.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,438.77 : 472,755.53 = 206,507.15 : x
  2. Step 2: Convert to fraction form
    342,438.77/472,755.53 = 206,507.15/x
  3. Step 3: Cross multiply
    342,438.77x = 472,755.53 × 206,507.15
  4. Step 4: Simplify right side
    342,438.77x = 97,627,397,147.04
  5. Step 5: Solve for x
    x = 97,627,397,147.04/342,438.77
  6. Step 6: Final answer
    x = 285,094.46

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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.