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Finding the Fourth Proportional to 230,662.80, 318,307.44 and 135,233.05

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Solution

The fourth proportional to 230,662.80, 318,307.44 and 135,233.05 is: 186,617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,662.80 : 318,307.44 = 135,233.05 : x
  2. Step 2: Convert to fraction form
    230,662.80/318,307.44 = 135,233.05/x
  3. Step 3: Cross multiply
    230,662.80x = 318,307.44 × 135,233.05
  4. Step 4: Simplify right side
    230,662.80x = 43,045,685,948.89
  5. Step 5: Solve for x
    x = 43,045,685,948.89/230,662.80
  6. Step 6: Final answer
    x = 186,617.37

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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.