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Finding the Fourth Proportional to 259,967.40, 389,652.18 and 119,430.76

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Solution

The fourth proportional to 259,967.40, 389,652.18 and 119,430.76 is: 179,008.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,967.40 : 389,652.18 = 119,430.76 : x
  2. Step 2: Convert to fraction form
    259,967.40/389,652.18 = 119,430.76/x
  3. Step 3: Cross multiply
    259,967.40x = 389,652.18 × 119,430.76
  4. Step 4: Simplify right side
    259,967.40x = 46,536,455,993.06
  5. Step 5: Solve for x
    x = 46,536,455,993.06/259,967.40
  6. Step 6: Final answer
    x = 179,008.81

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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.