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Finding the Fourth Proportional to 213,832, 294,748.20 and 168,438.12

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Solution

The fourth proportional to 213,832, 294,748.20 and 168,438.12 is: 232,176.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,832 : 294,748.20 = 168,438.12 : x
  2. Step 2: Convert to fraction form
    213,832/294,748.20 = 168,438.12/x
  3. Step 3: Cross multiply
    213,832x = 294,748.20 × 168,438.12
  4. Step 4: Simplify right side
    213,832x = 49,646,832,681.38
  5. Step 5: Solve for x
    x = 49,646,832,681.38/213,832
  6. Step 6: Final answer
    x = 232,176.81

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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.