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Finding the Fourth Proportional to 213,840, 294,759.24 and 168,446.12

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Solution

The fourth proportional to 213,840, 294,759.24 and 168,446.12 is: 232,187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,840 : 294,759.24 = 168,446.12 : x
  2. Step 2: Convert to fraction form
    213,840/294,759.24 = 168,446.12/x
  3. Step 3: Cross multiply
    213,840x = 294,759.24 × 168,446.12
  4. Step 4: Simplify right side
    213,840x = 49,651,050,312.15
  5. Step 5: Solve for x
    x = 49,651,050,312.15/213,840
  6. Step 6: Final answer
    x = 232,187.85

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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.