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Finding the Fourth Proportional to 642,332.40, 886,425.84 and 355,857

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Solution

The fourth proportional to 642,332.40, 886,425.84 and 355,857 is: 491,086.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,332.40 : 886,425.84 = 355,857 : x
  2. Step 2: Convert to fraction form
    642,332.40/886,425.84 = 355,857/x
  3. Step 3: Cross multiply
    642,332.40x = 886,425.84 × 355,857
  4. Step 4: Simplify right side
    642,332.40x = 315,440,840,144.88
  5. Step 5: Solve for x
    x = 315,440,840,144.88/642,332.40
  6. Step 6: Final answer
    x = 491,086.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.