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Finding the Fourth Proportional to 428,793.20, 643,282.20 and 144,512.24

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Solution

The fourth proportional to 428,793.20, 643,282.20 and 144,512.24 is: 216,799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,793.20 : 643,282.20 = 144,512.24 : x
  2. Step 2: Convert to fraction form
    428,793.20/643,282.20 = 144,512.24/x
  3. Step 3: Cross multiply
    428,793.20x = 643,282.20 × 144,512.24
  4. Step 4: Simplify right side
    428,793.20x = 92,962,151,674.13
  5. Step 5: Solve for x
    x = 92,962,151,674.13/428,793.20
  6. Step 6: Final answer
    x = 216,799.50

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1.5x scale

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.