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Finding the Fourth Proportional to 420,897.40, 580,694.34 and 239,563.96

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Solution

The fourth proportional to 420,897.40, 580,694.34 and 239,563.96 is: 330,516.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,897.40 : 580,694.34 = 239,563.96 : x
  2. Step 2: Convert to fraction form
    420,897.40/580,694.34 = 239,563.96/x
  3. Step 3: Cross multiply
    420,897.40x = 580,694.34 × 239,563.96
  4. Step 4: Simplify right side
    420,897.40x = 139,113,435,639.99
  5. Step 5: Solve for x
    x = 139,113,435,639.99/420,897.40
  6. Step 6: Final answer
    x = 330,516.26

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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.