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Finding the Fourth Proportional to 284,880.28, 393,100.68 and 157,538.56

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Solution

The fourth proportional to 284,880.28, 393,100.68 and 157,538.56 is: 217,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,880.28 : 393,100.68 = 157,538.56 : x
  2. Step 2: Convert to fraction form
    284,880.28/393,100.68 = 157,538.56/x
  3. Step 3: Cross multiply
    284,880.28x = 393,100.68 × 157,538.56
  4. Step 4: Simplify right side
    284,880.28x = 61,928,515,062.22
  5. Step 5: Solve for x
    x = 61,928,515,062.22/284,880.28
  6. Step 6: Final answer
    x = 217,384.35

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1.5x scale

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.