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Finding the Fourth Proportional to 284,356.22, 392,408.43 and 157,029.26

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Solution

The fourth proportional to 284,356.22, 392,408.43 and 157,029.26 is: 216,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,356.22 : 392,408.43 = 157,029.26 : x
  2. Step 2: Convert to fraction form
    284,356.22/392,408.43 = 157,029.26/x
  3. Step 3: Cross multiply
    284,356.22x = 392,408.43 × 157,029.26
  4. Step 4: Simplify right side
    284,356.22x = 61,619,605,380.66
  5. Step 5: Solve for x
    x = 61,619,605,380.66/284,356.22
  6. Step 6: Final answer
    x = 216,698.64

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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.