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Finding the Fourth Proportional to 420,768.84, 580,582.84 and 239,470

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Solution

The fourth proportional to 420,768.84, 580,582.84 and 239,470 is: 330,424.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,768.84 : 580,582.84 = 239,470 : x
  2. Step 2: Convert to fraction form
    420,768.84/580,582.84 = 239,470/x
  3. Step 3: Cross multiply
    420,768.84x = 580,582.84 × 239,470
  4. Step 4: Simplify right side
    420,768.84x = 139,032,172,694.80
  5. Step 5: Solve for x
    x = 139,032,172,694.80/420,768.84
  6. Step 6: Final answer
    x = 330,424.12

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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.