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Finding the Fourth Proportional to 259,911.40, 390,039.90 and 147,591.40

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Solution

The fourth proportional to 259,911.40, 390,039.90 and 147,591.40 is: 221,485.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,911.40 : 390,039.90 = 147,591.40 : x
  2. Step 2: Convert to fraction form
    259,911.40/390,039.90 = 147,591.40/x
  3. Step 3: Cross multiply
    259,911.40x = 390,039.90 × 147,591.40
  4. Step 4: Simplify right side
    259,911.40x = 57,566,534,896.86
  5. Step 5: Solve for x
    x = 57,566,534,896.86/259,911.40
  6. Step 6: Final answer
    x = 221,485.22

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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.