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Finding the Fourth Proportional to 370,086, 510,718.76 and 200,321.52

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Solution

The fourth proportional to 370,086, 510,718.76 and 200,321.52 is: 276,443.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,086 : 510,718.76 = 200,321.52 : x
  2. Step 2: Convert to fraction form
    370,086/510,718.76 = 200,321.52/x
  3. Step 3: Cross multiply
    370,086x = 510,718.76 × 200,321.52
  4. Step 4: Simplify right side
    370,086x = 102,307,958,295.72
  5. Step 5: Solve for x
    x = 102,307,958,295.72/370,086
  6. Step 6: Final answer
    x = 276,443.74

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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.