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Finding the Fourth Proportional to 370,585.54, 511,408.71 and 200,819.66

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Solution

The fourth proportional to 370,585.54, 511,408.71 and 200,819.66 is: 277,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,585.54 : 511,408.71 = 200,819.66 : x
  2. Step 2: Convert to fraction form
    370,585.54/511,408.71 = 200,819.66/x
  3. Step 3: Cross multiply
    370,585.54x = 511,408.71 × 200,819.66
  4. Step 4: Simplify right side
    370,585.54x = 102,700,922,259.14
  5. Step 5: Solve for x
    x = 102,700,922,259.14/370,585.54
  6. Step 6: Final answer
    x = 277,131.49

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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.