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Finding the Fourth Proportional to 420,898.90, 580,696.41 and 239,565.46

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Solution

The fourth proportional to 420,898.90, 580,696.41 and 239,565.46 is: 330,518.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,898.90 : 580,696.41 = 239,565.46 : x
  2. Step 2: Convert to fraction form
    420,898.90/580,696.41 = 239,565.46/x
  3. Step 3: Cross multiply
    420,898.90x = 580,696.41 × 239,565.46
  4. Step 4: Simplify right side
    420,898.90x = 139,114,802,582.00
  5. Step 5: Solve for x
    x = 139,114,802,582.00/420,898.90
  6. Step 6: Final answer
    x = 330,518.33

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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.