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Finding the Fourth Proportional to 370,084, 510,716 and 200,319.52

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Solution

The fourth proportional to 370,084, 510,716 and 200,319.52 is: 276,440.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,084 : 510,716 = 200,319.52 : x
  2. Step 2: Convert to fraction form
    370,084/510,716 = 200,319.52/x
  3. Step 3: Cross multiply
    370,084x = 510,716 × 200,319.52
  4. Step 4: Simplify right side
    370,084x = 102,306,383,976.32
  5. Step 5: Solve for x
    x = 102,306,383,976.32/370,084
  6. Step 6: Final answer
    x = 276,440.98

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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.