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Finding the Fourth Proportional to 282,402.90, 422,904.51 and 157,481.46

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Solution

The fourth proportional to 282,402.90, 422,904.51 and 157,481.46 is: 235,831.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,402.90 : 422,904.51 = 157,481.46 : x
  2. Step 2: Convert to fraction form
    282,402.90/422,904.51 = 157,481.46/x
  3. Step 3: Cross multiply
    282,402.90x = 422,904.51 × 157,481.46
  4. Step 4: Simplify right side
    282,402.90x = 66,599,619,675.38
  5. Step 5: Solve for x
    x = 66,599,619,675.38/282,402.90
  6. Step 6: Final answer
    x = 235,831.93

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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.