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Finding the Fourth Proportional to 259,729.76, 389,652.96 and 82,223.12

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Solution

The fourth proportional to 259,729.76, 389,652.96 and 82,223.12 is: 123,353.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,729.76 : 389,652.96 = 82,223.12 : x
  2. Step 2: Convert to fraction form
    259,729.76/389,652.96 = 82,223.12/x
  3. Step 3: Cross multiply
    259,729.76x = 389,652.96 × 82,223.12
  4. Step 4: Simplify right side
    259,729.76x = 32,038,482,088.44
  5. Step 5: Solve for x
    x = 32,038,482,088.44/259,729.76
  6. Step 6: Final answer
    x = 123,353.14

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1.5x scale

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.