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Finding the Fourth Proportional to 370,635.38, 511,477.71 and 200,869.46

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Solution

The fourth proportional to 370,635.38, 511,477.71 and 200,869.46 is: 277,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,635.38 : 511,477.71 = 200,869.46 : x
  2. Step 2: Convert to fraction form
    370,635.38/511,477.71 = 200,869.46/x
  3. Step 3: Cross multiply
    370,635.38x = 511,477.71 × 200,869.46
  4. Step 4: Simplify right side
    370,635.38x = 102,740,251,409.74
  5. Step 5: Solve for x
    x = 102,740,251,409.74/370,635.38
  6. Step 6: Final answer
    x = 277,200.33

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1.5x scale

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.