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Finding the Fourth Proportional to 370,496.82, 511,287.74 and 200,730.95

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Solution

The fourth proportional to 370,496.82, 511,287.74 and 200,730.95 is: 277,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,496.82 : 511,287.74 = 200,730.95 : x
  2. Step 2: Convert to fraction form
    370,496.82/511,287.74 = 200,730.95/x
  3. Step 3: Cross multiply
    370,496.82x = 511,287.74 × 200,730.95
  4. Step 4: Simplify right side
    370,496.82x = 102,631,270,213.46
  5. Step 5: Solve for x
    x = 102,631,270,213.46/370,496.82
  6. Step 6: Final answer
    x = 277,009.85

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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.