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Finding the Fourth Proportional to 420,398.94, 580,162.86 and 229,424.61

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Solution

The fourth proportional to 420,398.94, 580,162.86 and 229,424.61 is: 316,612.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,398.94 : 580,162.86 = 229,424.61 : x
  2. Step 2: Convert to fraction form
    420,398.94/580,162.86 = 229,424.61/x
  3. Step 3: Cross multiply
    420,398.94x = 580,162.86 × 229,424.61
  4. Step 4: Simplify right side
    420,398.94x = 133,103,637,891.99
  5. Step 5: Solve for x
    x = 133,103,637,891.99/420,398.94
  6. Step 6: Final answer
    x = 316,612.69

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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.