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Finding the Fourth Proportional to 420,884.19, 580,803.30 and 229,904.37

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Solution

The fourth proportional to 420,884.19, 580,803.30 and 229,904.37 is: 317,258.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,884.19 : 580,803.30 = 229,904.37 : x
  2. Step 2: Convert to fraction form
    420,884.19/580,803.30 = 229,904.37/x
  3. Step 3: Cross multiply
    420,884.19x = 580,803.30 × 229,904.37
  4. Step 4: Simplify right side
    420,884.19x = 133,529,216,780.42
  5. Step 5: Solve for x
    x = 133,529,216,780.42/420,884.19
  6. Step 6: Final answer
    x = 317,258.81

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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.