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Finding the Fourth Proportional to 284,672.78, 392,887.50 and 163,811.60

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Solution

The fourth proportional to 284,672.78, 392,887.50 and 163,811.60 is: 226,082.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,672.78 : 392,887.50 = 163,811.60 : x
  2. Step 2: Convert to fraction form
    284,672.78/392,887.50 = 163,811.60/x
  3. Step 3: Cross multiply
    284,672.78x = 392,887.50 × 163,811.60
  4. Step 4: Simplify right side
    284,672.78x = 64,359,529,995
  5. Step 5: Solve for x
    x = 64,359,529,995/284,672.78
  6. Step 6: Final answer
    x = 226,082.49

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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.