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Finding the Fourth Proportional to 284,236.70, 392,244.24 and 156,909.56

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Solution

The fourth proportional to 284,236.70, 392,244.24 and 156,909.56 is: 216,533.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,236.70 : 392,244.24 = 156,909.56 : x
  2. Step 2: Convert to fraction form
    284,236.70/392,244.24 = 156,909.56/x
  3. Step 3: Cross multiply
    284,236.70x = 392,244.24 × 156,909.56
  4. Step 4: Simplify right side
    284,236.70x = 61,546,872,091.55
  5. Step 5: Solve for x
    x = 61,546,872,091.55/284,236.70
  6. Step 6: Final answer
    x = 216,533.87

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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.