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Finding the Fourth Proportional to 342,442.70, 472,463.80 and 206,518.22

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Solution

The fourth proportional to 342,442.70, 472,463.80 and 206,518.22 is: 284,930.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,442.70 : 472,463.80 = 206,518.22 : x
  2. Step 2: Convert to fraction form
    342,442.70/472,463.80 = 206,518.22/x
  3. Step 3: Cross multiply
    342,442.70x = 472,463.80 × 206,518.22
  4. Step 4: Simplify right side
    342,442.70x = 97,572,380,628.12
  5. Step 5: Solve for x
    x = 97,572,380,628.12/342,442.70
  6. Step 6: Final answer
    x = 284,930.54

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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.