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Finding the Fourth Proportional to 420,698.68, 580,587.70 and 229,729.80

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Solution

The fourth proportional to 420,698.68, 580,587.70 and 229,729.80 is: 317,039.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,698.68 : 580,587.70 = 229,729.80 : x
  2. Step 2: Convert to fraction form
    420,698.68/580,587.70 = 229,729.80/x
  3. Step 3: Cross multiply
    420,698.68x = 580,587.70 × 229,729.80
  4. Step 4: Simplify right side
    420,698.68x = 133,378,296,203.46
  5. Step 5: Solve for x
    x = 133,378,296,203.46/420,698.68
  6. Step 6: Final answer
    x = 317,039.97

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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.