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Finding the Fourth Proportional to 344,019.28, 516,228.28 and 144,322

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Solution

The fourth proportional to 344,019.28, 516,228.28 and 144,322 is: 216,566.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,019.28 : 516,228.28 = 144,322 : x
  2. Step 2: Convert to fraction form
    344,019.28/516,228.28 = 144,322/x
  3. Step 3: Cross multiply
    344,019.28x = 516,228.28 × 144,322
  4. Step 4: Simplify right side
    344,019.28x = 74,503,097,826.16
  5. Step 5: Solve for x
    x = 74,503,097,826.16/344,019.28
  6. Step 6: Final answer
    x = 216,566.63

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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.