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Finding the Fourth Proportional to 230,813.84, 318,522.24 and 128,838.42

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Solution

The fourth proportional to 230,813.84, 318,522.24 and 128,838.42 is: 177,796.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,813.84 : 318,522.24 = 128,838.42 : x
  2. Step 2: Convert to fraction form
    230,813.84/318,522.24 = 128,838.42/x
  3. Step 3: Cross multiply
    230,813.84x = 318,522.24 × 128,838.42
  4. Step 4: Simplify right side
    230,813.84x = 41,037,902,136.46
  5. Step 5: Solve for x
    x = 41,037,902,136.46/230,813.84
  6. Step 6: Final answer
    x = 177,796.54

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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.