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Finding the Fourth Proportional to 322,809.52, 484,259.09 and 142,880.70

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Solution

The fourth proportional to 322,809.52, 484,259.09 and 142,880.70 is: 214,340.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,809.52 : 484,259.09 = 142,880.70 : x
  2. Step 2: Convert to fraction form
    322,809.52/484,259.09 = 142,880.70/x
  3. Step 3: Cross multiply
    322,809.52x = 484,259.09 × 142,880.70
  4. Step 4: Simplify right side
    322,809.52x = 69,191,276,863.67
  5. Step 5: Solve for x
    x = 69,191,276,863.67/322,809.52
  6. Step 6: Final answer
    x = 214,340.88

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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.