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Finding the Fourth Proportional to 404,258,667.80, 606,388,001.70 and 199,744,424.60

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Solution

The fourth proportional to 404,258,667.80, 606,388,001.70 and 199,744,424.60 is: 299,616,636.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,258,667.80 : 606,388,001.70 = 199,744,424.60 : x
  2. Step 2: Convert to fraction form
    404,258,667.80/606,388,001.70 = 199,744,424.60/x
  3. Step 3: Cross multiply
    404,258,667.80x = 606,388,001.70 × 199,744,424.60
  4. Step 4: Simplify right side
    404,258,667.80x = 121,122,622,483,910,320
  5. Step 5: Solve for x
    x = 121,122,622,483,910,320/404,258,667.80
  6. Step 6: Final answer
    x = 299,616,636.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.