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Finding the Fourth Proportional to 230,906.10, 346,359.15 and 213,191.40

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Solution

The fourth proportional to 230,906.10, 346,359.15 and 213,191.40 is: 319,787.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,906.10 : 346,359.15 = 213,191.40 : x
  2. Step 2: Convert to fraction form
    230,906.10/346,359.15 = 213,191.40/x
  3. Step 3: Cross multiply
    230,906.10x = 346,359.15 × 213,191.40
  4. Step 4: Simplify right side
    230,906.10x = 73,840,792,091.31
  5. Step 5: Solve for x
    x = 73,840,792,091.31/230,906.10
  6. Step 6: Final answer
    x = 319,787.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.