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Finding the Fourth Proportional to 345,769.92, 476,894.18 and 307,048.48

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Solution

The fourth proportional to 345,769.92, 476,894.18 and 307,048.48 is: 423,488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,769.92 : 476,894.18 = 307,048.48 : x
  2. Step 2: Convert to fraction form
    345,769.92/476,894.18 = 307,048.48/x
  3. Step 3: Cross multiply
    345,769.92x = 476,894.18 × 307,048.48
  4. Step 4: Simplify right side
    345,769.92x = 146,429,632,665.23
  5. Step 5: Solve for x
    x = 146,429,632,665.23/345,769.92
  6. Step 6: Final answer
    x = 423,488.64

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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.