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Finding the Fourth Proportional to 284,100.44, 392,125.71 and 163,311.80

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Solution

The fourth proportional to 284,100.44, 392,125.71 and 163,311.80 is: 225,408.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,100.44 : 392,125.71 = 163,311.80 : x
  2. Step 2: Convert to fraction form
    284,100.44/392,125.71 = 163,311.80/x
  3. Step 3: Cross multiply
    284,100.44x = 392,125.71 × 163,311.80
  4. Step 4: Simplify right side
    284,100.44x = 64,038,755,526.38
  5. Step 5: Solve for x
    x = 64,038,755,526.38/284,100.44
  6. Step 6: Final answer
    x = 225,408.86

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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.