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Finding the Fourth Proportional to 284,172.76, 426,447.38 and 156,178.42

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Solution

The fourth proportional to 284,172.76, 426,447.38 and 156,178.42 is: 234,371.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,172.76 : 426,447.38 = 156,178.42 : x
  2. Step 2: Convert to fraction form
    284,172.76/426,447.38 = 156,178.42/x
  3. Step 3: Cross multiply
    284,172.76x = 426,447.38 × 156,178.42
  4. Step 4: Simplify right side
    284,172.76x = 66,601,878,021.54
  5. Step 5: Solve for x
    x = 66,601,878,021.54/284,172.76
  6. Step 6: Final answer
    x = 234,371.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.