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Finding the Fourth Proportional to 259,615.50, 358,269.40 and 140,383.50

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Solution

The fourth proportional to 259,615.50, 358,269.40 and 140,383.50 is: 193,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,615.50 : 358,269.40 = 140,383.50 : x
  2. Step 2: Convert to fraction form
    259,615.50/358,269.40 = 140,383.50/x
  3. Step 3: Cross multiply
    259,615.50x = 358,269.40 × 140,383.50
  4. Step 4: Simplify right side
    259,615.50x = 50,295,112,314.90
  5. Step 5: Solve for x
    x = 50,295,112,314.90/259,615.50
  6. Step 6: Final answer
    x = 193,729.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.