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Finding the Fourth Proportional to 285,273.19, 427,749.71 and 195,417.46

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Solution

The fourth proportional to 285,273.19, 427,749.71 and 195,417.46 is: 293,016.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,273.19 : 427,749.71 = 195,417.46 : x
  2. Step 2: Convert to fraction form
    285,273.19/427,749.71 = 195,417.46/x
  3. Step 3: Cross multiply
    285,273.19x = 427,749.71 × 195,417.46
  4. Step 4: Simplify right side
    285,273.19x = 83,589,759,797.48
  5. Step 5: Solve for x
    x = 83,589,759,797.48/285,273.19
  6. Step 6: Final answer
    x = 293,016.53

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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.