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Finding the Fourth Proportional to 420,142.87, 579,796.81 and 229,155.67

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Solution

The fourth proportional to 420,142.87, 579,796.81 and 229,155.67 is: 316,234.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,142.87 : 579,796.81 = 229,155.67 : x
  2. Step 2: Convert to fraction form
    420,142.87/579,796.81 = 229,155.67/x
  3. Step 3: Cross multiply
    420,142.87x = 579,796.81 × 229,155.67
  4. Step 4: Simplify right side
    420,142.87x = 132,863,726,459.41
  5. Step 5: Solve for x
    x = 132,863,726,459.41/420,142.87
  6. Step 6: Final answer
    x = 316,234.63

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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.