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Finding the Fourth Proportional to 259,433.40, 389,102.10 and 72,406.20

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Solution

The fourth proportional to 259,433.40, 389,102.10 and 72,406.20 is: 108,595.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,433.40 : 389,102.10 = 72,406.20 : x
  2. Step 2: Convert to fraction form
    259,433.40/389,102.10 = 72,406.20/x
  3. Step 3: Cross multiply
    259,433.40x = 389,102.10 × 72,406.20
  4. Step 4: Simplify right side
    259,433.40x = 28,173,404,473.02
  5. Step 5: Solve for x
    x = 28,173,404,473.02/259,433.40
  6. Step 6: Final answer
    x = 108,595.90

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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.