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Finding the Fourth Proportional to 282,058.60, 422,690.10 and 155,755.70

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Solution

The fourth proportional to 282,058.60, 422,690.10 and 155,755.70 is: 233,413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,058.60 : 422,690.10 = 155,755.70 : x
  2. Step 2: Convert to fraction form
    282,058.60/422,690.10 = 155,755.70/x
  3. Step 3: Cross multiply
    282,058.60x = 422,690.10 × 155,755.70
  4. Step 4: Simplify right side
    282,058.60x = 65,836,392,408.57
  5. Step 5: Solve for x
    x = 65,836,392,408.57/282,058.60
  6. Step 6: Final answer
    x = 233,413.88

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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.