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Finding the Fourth Proportional to 259,871.40, 389,807.10 and 189,887.40

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Solution

The fourth proportional to 259,871.40, 389,807.10 and 189,887.40 is: 284,831.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,871.40 : 389,807.10 = 189,887.40 : x
  2. Step 2: Convert to fraction form
    259,871.40/389,807.10 = 189,887.40/x
  3. Step 3: Cross multiply
    259,871.40x = 389,807.10 × 189,887.40
  4. Step 4: Simplify right side
    259,871.40x = 74,019,456,720.54
  5. Step 5: Solve for x
    x = 74,019,456,720.54/259,871.40
  6. Step 6: Final answer
    x = 284,831.10

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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.