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Finding the Fourth Proportional to 230,912.16, 318,878.87 and 218,332.12

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Solution

The fourth proportional to 230,912.16, 318,878.87 and 218,332.12 is: 301,506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,912.16 : 318,878.87 = 218,332.12 : x
  2. Step 2: Convert to fraction form
    230,912.16/318,878.87 = 218,332.12/x
  3. Step 3: Cross multiply
    230,912.16x = 318,878.87 × 218,332.12
  4. Step 4: Simplify right side
    230,912.16x = 69,621,499,710.30
  5. Step 5: Solve for x
    x = 69,621,499,710.30/230,912.16
  6. Step 6: Final answer
    x = 301,506.42

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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.