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Finding the Fourth Proportional to 284,142.75, 392,117.84 and 155,082.41

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Solution

The fourth proportional to 284,142.75, 392,117.84 and 155,082.41 is: 214,014.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,142.75 : 392,117.84 = 155,082.41 : x
  2. Step 2: Convert to fraction form
    284,142.75/392,117.84 = 155,082.41/x
  3. Step 3: Cross multiply
    284,142.75x = 392,117.84 × 155,082.41
  4. Step 4: Simplify right side
    284,142.75x = 60,810,580,716.69
  5. Step 5: Solve for x
    x = 60,810,580,716.69/284,142.75
  6. Step 6: Final answer
    x = 214,014.19

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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.