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Finding the Fourth Proportional to 420,406.49, 580,179.86 and 236,708.30

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Solution

The fourth proportional to 420,406.49, 580,179.86 and 236,708.30 is: 326,668.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,406.49 : 580,179.86 = 236,708.30 : x
  2. Step 2: Convert to fraction form
    420,406.49/580,179.86 = 236,708.30/x
  3. Step 3: Cross multiply
    420,406.49x = 580,179.86 × 236,708.30
  4. Step 4: Simplify right side
    420,406.49x = 137,333,384,270.40
  5. Step 5: Solve for x
    x = 137,333,384,270.40/420,406.49
  6. Step 6: Final answer
    x = 326,668.09

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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.