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Finding the Fourth Proportional to 309,016.40, 463,409.40 and 121,989.20

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Solution

The fourth proportional to 309,016.40, 463,409.40 and 121,989.20 is: 182,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,016.40 : 463,409.40 = 121,989.20 : x
  2. Step 2: Convert to fraction form
    309,016.40/463,409.40 = 121,989.20/x
  3. Step 3: Cross multiply
    309,016.40x = 463,409.40 × 121,989.20
  4. Step 4: Simplify right side
    309,016.40x = 56,530,941,978.48
  5. Step 5: Solve for x
    x = 56,530,941,978.48/309,016.40
  6. Step 6: Final answer
    x = 182,938.32

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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.