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Finding the Fourth Proportional to 284,989.80, 427,383.90 and 97,957.80

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Solution

The fourth proportional to 284,989.80, 427,383.90 and 97,957.80 is: 146,902.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,989.80 : 427,383.90 = 97,957.80 : x
  2. Step 2: Convert to fraction form
    284,989.80/427,383.90 = 97,957.80/x
  3. Step 3: Cross multiply
    284,989.80x = 427,383.90 × 97,957.80
  4. Step 4: Simplify right side
    284,989.80x = 41,865,586,599.42
  5. Step 5: Solve for x
    x = 41,865,586,599.42/284,989.80
  6. Step 6: Final answer
    x = 146,902.05

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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.