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Finding the Fourth Proportional to 216,458.45, 298,519.24 and 135,893.48

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Solution

The fourth proportional to 216,458.45, 298,519.24 and 135,893.48 is: 187,411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,458.45 : 298,519.24 = 135,893.48 : x
  2. Step 2: Convert to fraction form
    216,458.45/298,519.24 = 135,893.48/x
  3. Step 3: Cross multiply
    216,458.45x = 298,519.24 × 135,893.48
  4. Step 4: Simplify right side
    216,458.45x = 40,566,818,370.56
  5. Step 5: Solve for x
    x = 40,566,818,370.56/216,458.45
  6. Step 6: Final answer
    x = 187,411.57

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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.