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Finding the Fourth Proportional to 370,052, 510,671.76 and 200,287.52

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Solution

The fourth proportional to 370,052, 510,671.76 and 200,287.52 is: 276,396.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,052 : 510,671.76 = 200,287.52 : x
  2. Step 2: Convert to fraction form
    370,052/510,671.76 = 200,287.52/x
  3. Step 3: Cross multiply
    370,052x = 510,671.76 × 200,287.52
  4. Step 4: Simplify right side
    370,052x = 102,281,180,344.44
  5. Step 5: Solve for x
    x = 102,281,180,344.44/370,052
  6. Step 6: Final answer
    x = 276,396.78

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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.