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Finding the Fourth Proportional to 284,939.60, 427,447.80 and 98,008.40

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Solution

The fourth proportional to 284,939.60, 427,447.80 and 98,008.40 is: 147,025.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,939.60 : 427,447.80 = 98,008.40 : x
  2. Step 2: Convert to fraction form
    284,939.60/427,447.80 = 98,008.40/x
  3. Step 3: Cross multiply
    284,939.60x = 427,447.80 × 98,008.40
  4. Step 4: Simplify right side
    284,939.60x = 41,893,474,961.52
  5. Step 5: Solve for x
    x = 41,893,474,961.52/284,939.60
  6. Step 6: Final answer
    x = 147,025.81

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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.