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Finding the Fourth Proportional to 284,720.50, 392,880.18 and 157,378.78

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Solution

The fourth proportional to 284,720.50, 392,880.18 and 157,378.78 is: 217,163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,720.50 : 392,880.18 = 157,378.78 : x
  2. Step 2: Convert to fraction form
    284,720.50/392,880.18 = 157,378.78/x
  3. Step 3: Cross multiply
    284,720.50x = 392,880.18 × 157,378.78
  4. Step 4: Simplify right side
    284,720.50x = 61,831,003,414.58
  5. Step 5: Solve for x
    x = 61,831,003,414.58/284,720.50
  6. Step 6: Final answer
    x = 217,163.86

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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.