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Finding the Fourth Proportional to 428,734.41, 642,541 and 175,718.67

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Solution

The fourth proportional to 428,734.41, 642,541 and 175,718.67 is: 263,348.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,734.41 : 642,541 = 175,718.67 : x
  2. Step 2: Convert to fraction form
    428,734.41/642,541 = 175,718.67/x
  3. Step 3: Cross multiply
    428,734.41x = 642,541 × 175,718.67
  4. Step 4: Simplify right side
    428,734.41x = 112,906,449,940.47
  5. Step 5: Solve for x
    x = 112,906,449,940.47/428,734.41
  6. Step 6: Final answer
    x = 263,348.23

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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.