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Finding the Fourth Proportional to 420,898.40, 580,695.72 and 239,564.96

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Solution

The fourth proportional to 420,898.40, 580,695.72 and 239,564.96 is: 330,517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,898.40 : 580,695.72 = 239,564.96 : x
  2. Step 2: Convert to fraction form
    420,898.40/580,695.72 = 239,564.96/x
  3. Step 3: Cross multiply
    420,898.40x = 580,695.72 × 239,564.96
  4. Step 4: Simplify right side
    420,898.40x = 139,114,346,933.97
  5. Step 5: Solve for x
    x = 139,114,346,933.97/420,898.40
  6. Step 6: Final answer
    x = 330,517.64

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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.