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Finding the Fourth Proportional to 284,940.60, 427,449.30 and 98,009.40

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Solution

The fourth proportional to 284,940.60, 427,449.30 and 98,009.40 is: 147,027.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,940.60 : 427,449.30 = 98,009.40 : x
  2. Step 2: Convert to fraction form
    284,940.60/427,449.30 = 98,009.40/x
  3. Step 3: Cross multiply
    284,940.60x = 427,449.30 × 98,009.40
  4. Step 4: Simplify right side
    284,940.60x = 41,894,049,423.42
  5. Step 5: Solve for x
    x = 41,894,049,423.42/284,940.60
  6. Step 6: Final answer
    x = 147,027.31

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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.