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Finding the Fourth Proportional to 342,181.92, 472,214.10 and 189,230.40

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Solution

The fourth proportional to 342,181.92, 472,214.10 and 189,230.40 is: 261,139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,181.92 : 472,214.10 = 189,230.40 : x
  2. Step 2: Convert to fraction form
    342,181.92/472,214.10 = 189,230.40/x
  3. Step 3: Cross multiply
    342,181.92x = 472,214.10 × 189,230.40
  4. Step 4: Simplify right side
    342,181.92x = 89,357,265,066.36
  5. Step 5: Solve for x
    x = 89,357,265,066.36/342,181.92
  6. Step 6: Final answer
    x = 261,139.65

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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.