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Finding the Fourth Proportional to 283,143.97, 424,789.47 and 105,652.31

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Solution

The fourth proportional to 283,143.97, 424,789.47 and 105,652.31 is: 158,505.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,143.97 : 424,789.47 = 105,652.31 : x
  2. Step 2: Convert to fraction form
    283,143.97/424,789.47 = 105,652.31/x
  3. Step 3: Cross multiply
    283,143.97x = 424,789.47 × 105,652.31
  4. Step 4: Simplify right side
    283,143.97x = 44,879,989,831.15
  5. Step 5: Solve for x
    x = 44,879,989,831.15/283,143.97
  6. Step 6: Final answer
    x = 158,505.90

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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.