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Finding the Fourth Proportional to 420,564.52, 580,390.02 and 229,595.56

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Solution

The fourth proportional to 420,564.52, 580,390.02 and 229,595.56 is: 316,847.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,564.52 : 580,390.02 = 229,595.56 : x
  2. Step 2: Convert to fraction form
    420,564.52/580,390.02 = 229,595.56/x
  3. Step 3: Cross multiply
    420,564.52x = 580,390.02 × 229,595.56
  4. Step 4: Simplify right side
    420,564.52x = 133,254,971,660.31
  5. Step 5: Solve for x
    x = 133,254,971,660.31/420,564.52
  6. Step 6: Final answer
    x = 316,847.87

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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.