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Finding the Fourth Proportional to 642,395.40, 886,512.78 and 355,920

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Solution

The fourth proportional to 642,395.40, 886,512.78 and 355,920 is: 491,173.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,395.40 : 886,512.78 = 355,920 : x
  2. Step 2: Convert to fraction form
    642,395.40/886,512.78 = 355,920/x
  3. Step 3: Cross multiply
    642,395.40x = 886,512.78 × 355,920
  4. Step 4: Simplify right side
    642,395.40x = 315,527,628,657.60
  5. Step 5: Solve for x
    x = 315,527,628,657.60/642,395.40
  6. Step 6: Final answer
    x = 491,173.55

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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.