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Finding the Fourth Proportional to 282,138.64, 422,985.27 and 139,885.83

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Solution

The fourth proportional to 282,138.64, 422,985.27 and 139,885.83 is: 209,718.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,138.64 : 422,985.27 = 139,885.83 : x
  2. Step 2: Convert to fraction form
    282,138.64/422,985.27 = 139,885.83/x
  3. Step 3: Cross multiply
    282,138.64x = 422,985.27 × 139,885.83
  4. Step 4: Simplify right side
    282,138.64x = 59,169,645,571.72
  5. Step 5: Solve for x
    x = 59,169,645,571.72/282,138.64
  6. Step 6: Final answer
    x = 209,718.33

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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.