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Finding the Fourth Proportional to 285,527.44, 428,359.24 and 98,540.56

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Solution

The fourth proportional to 285,527.44, 428,359.24 and 98,540.56 is: 147,834.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,527.44 : 428,359.24 = 98,540.56 : x
  2. Step 2: Convert to fraction form
    285,527.44/428,359.24 = 98,540.56/x
  3. Step 3: Cross multiply
    285,527.44x = 428,359.24 × 98,540.56
  4. Step 4: Simplify right side
    285,527.44x = 42,210,759,390.77
  5. Step 5: Solve for x
    x = 42,210,759,390.77/285,527.44
  6. Step 6: Final answer
    x = 147,834.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.