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Finding the Fourth Proportional to 420,874.65, 580,662.95 and 239,541.17

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Solution

The fourth proportional to 420,874.65, 580,662.95 and 239,541.17 is: 330,484.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,874.65 : 580,662.95 = 239,541.17 : x
  2. Step 2: Convert to fraction form
    420,874.65/580,662.95 = 239,541.17/x
  3. Step 3: Cross multiply
    420,874.65x = 580,662.95 × 239,541.17
  4. Step 4: Simplify right side
    420,874.65x = 139,092,678,317.63
  5. Step 5: Solve for x
    x = 139,092,678,317.63/420,874.65
  6. Step 6: Final answer
    x = 330,484.81

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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.