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Finding the Fourth Proportional to 252,053.46, 378,080.19 and 145,599.41

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Solution

The fourth proportional to 252,053.46, 378,080.19 and 145,599.41 is: 218,399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,053.46 : 378,080.19 = 145,599.41 : x
  2. Step 2: Convert to fraction form
    252,053.46/378,080.19 = 145,599.41/x
  3. Step 3: Cross multiply
    252,053.46x = 378,080.19 × 145,599.41
  4. Step 4: Simplify right side
    252,053.46x = 55,048,253,541.89
  5. Step 5: Solve for x
    x = 55,048,253,541.89/252,053.46
  6. Step 6: Final answer
    x = 218,399.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.