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Finding the Fourth Proportional to 370,294.63, 511,005.57 and 200,528.71

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Solution

The fourth proportional to 370,294.63, 511,005.57 and 200,528.71 is: 276,729.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,294.63 : 511,005.57 = 200,528.71 : x
  2. Step 2: Convert to fraction form
    370,294.63/511,005.57 = 200,528.71/x
  3. Step 3: Cross multiply
    370,294.63x = 511,005.57 × 200,528.71
  4. Step 4: Simplify right side
    370,294.63x = 102,471,287,754.92
  5. Step 5: Solve for x
    x = 102,471,287,754.92/370,294.63
  6. Step 6: Final answer
    x = 276,729.07

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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.