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Finding the Fourth Proportional to 405,095.49, 559,043.01 and 223,819.11

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Solution

The fourth proportional to 405,095.49, 559,043.01 and 223,819.11 is: 308,876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,095.49 : 559,043.01 = 223,819.11 : x
  2. Step 2: Convert to fraction form
    405,095.49/559,043.01 = 223,819.11/x
  3. Step 3: Cross multiply
    405,095.49x = 559,043.01 × 223,819.11
  4. Step 4: Simplify right side
    405,095.49x = 125,124,508,949.92
  5. Step 5: Solve for x
    x = 125,124,508,949.92/405,095.49
  6. Step 6: Final answer
    x = 308,876.58

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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.