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Finding the Fourth Proportional to 420,957.76, 580,923.76 and 229,974.34

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Solution

The fourth proportional to 420,957.76, 580,923.76 and 229,974.34 is: 317,365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,957.76 : 580,923.76 = 229,974.34 : x
  2. Step 2: Convert to fraction form
    420,957.76/580,923.76 = 229,974.34/x
  3. Step 3: Cross multiply
    420,957.76x = 580,923.76 × 229,974.34
  4. Step 4: Simplify right side
    420,957.76x = 133,597,558,296.32
  5. Step 5: Solve for x
    x = 133,597,558,296.32/420,957.76
  6. Step 6: Final answer
    x = 317,365.71

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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.