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Finding the Fourth Proportional to 420,431.34, 580,196.88 and 229,449

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Solution

The fourth proportional to 420,431.34, 580,196.88 and 229,449 is: 316,640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,431.34 : 580,196.88 = 229,449 : x
  2. Step 2: Convert to fraction form
    420,431.34/580,196.88 = 229,449/x
  3. Step 3: Cross multiply
    420,431.34x = 580,196.88 × 229,449
  4. Step 4: Simplify right side
    420,431.34x = 133,125,593,919.12
  5. Step 5: Solve for x
    x = 133,125,593,919.12/420,431.34
  6. Step 6: Final answer
    x = 316,640.51

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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.