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Finding the Fourth Proportional to 407,908.84, 562,910.82 and 229,057

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Solution

The fourth proportional to 407,908.84, 562,910.82 and 229,057 is: 316,096.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,908.84 : 562,910.82 = 229,057 : x
  2. Step 2: Convert to fraction form
    407,908.84/562,910.82 = 229,057/x
  3. Step 3: Cross multiply
    407,908.84x = 562,910.82 × 229,057
  4. Step 4: Simplify right side
    407,908.84x = 128,938,663,696.74
  5. Step 5: Solve for x
    x = 128,938,663,696.74/407,908.84
  6. Step 6: Final answer
    x = 316,096.76

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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.