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Finding the Fourth Proportional to 284,408.11, 392,449.62 and 157,076.11

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Solution

The fourth proportional to 284,408.11, 392,449.62 and 157,076.11 is: 216,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,408.11 : 392,449.62 = 157,076.11 : x
  2. Step 2: Convert to fraction form
    284,408.11/392,449.62 = 157,076.11/x
  3. Step 3: Cross multiply
    284,408.11x = 392,449.62 × 157,076.11
  4. Step 4: Simplify right side
    284,408.11x = 61,644,459,680.58
  5. Step 5: Solve for x
    x = 61,644,459,680.58/284,408.11
  6. Step 6: Final answer
    x = 216,746.49

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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.