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Finding the Fourth Proportional to 342,747.12, 472,844.47 and 206,703.71

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Solution

The fourth proportional to 342,747.12, 472,844.47 and 206,703.71 is: 285,162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,747.12 : 472,844.47 = 206,703.71 : x
  2. Step 2: Convert to fraction form
    342,747.12/472,844.47 = 206,703.71/x
  3. Step 3: Cross multiply
    342,747.12x = 472,844.47 × 206,703.71
  4. Step 4: Simplify right side
    342,747.12x = 97,738,706,201.98
  5. Step 5: Solve for x
    x = 97,738,706,201.98/342,747.12
  6. Step 6: Final answer
    x = 285,162.74

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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.