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Finding the Fourth Proportional to 428,571.84, 642,947.67 and 162,326.46

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Solution

The fourth proportional to 428,571.84, 642,947.67 and 162,326.46 is: 243,523.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,571.84 : 642,947.67 = 162,326.46 : x
  2. Step 2: Convert to fraction form
    428,571.84/642,947.67 = 162,326.46/x
  3. Step 3: Cross multiply
    428,571.84x = 642,947.67 × 162,326.46
  4. Step 4: Simplify right side
    428,571.84x = 104,367,418,424.72
  5. Step 5: Solve for x
    x = 104,367,418,424.72/428,571.84
  6. Step 6: Final answer
    x = 243,523.74

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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.