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Finding the Fourth Proportional to 230,913.80, 318,881.12 and 218,333.77

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Solution

The fourth proportional to 230,913.80, 318,881.12 and 218,333.77 is: 301,508.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,913.80 : 318,881.12 = 218,333.77 : x
  2. Step 2: Convert to fraction form
    230,913.80/318,881.12 = 218,333.77/x
  3. Step 3: Cross multiply
    230,913.80x = 318,881.12 × 218,333.77
  4. Step 4: Simplify right side
    230,913.80x = 69,622,517,111.42
  5. Step 5: Solve for x
    x = 69,622,517,111.42/230,913.80
  6. Step 6: Final answer
    x = 301,508.69

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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.