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Finding the Fourth Proportional to 642,494, 886,661.16 and 355,987.28

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Solution

The fourth proportional to 642,494, 886,661.16 and 355,987.28 is: 491,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,494 : 886,661.16 = 355,987.28 : x
  2. Step 2: Convert to fraction form
    642,494/886,661.16 = 355,987.28/x
  3. Step 3: Cross multiply
    642,494x = 886,661.16 × 355,987.28
  4. Step 4: Simplify right side
    642,494x = 315,640,094,630.05
  5. Step 5: Solve for x
    x = 315,640,094,630.05/642,494
  6. Step 6: Final answer
    x = 491,273.22

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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.