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Finding the Fourth Proportional to 370,016, 510,621.12 and 200,250.08

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Solution

The fourth proportional to 370,016, 510,621.12 and 200,250.08 is: 276,344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,016 : 510,621.12 = 200,250.08 : x
  2. Step 2: Convert to fraction form
    370,016/510,621.12 = 200,250.08/x
  3. Step 3: Cross multiply
    370,016x = 510,621.12 × 200,250.08
  4. Step 4: Simplify right side
    370,016x = 102,251,920,129.69
  5. Step 5: Solve for x
    x = 102,251,920,129.69/370,016
  6. Step 6: Final answer
    x = 276,344.59

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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.