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Finding the Fourth Proportional to 390,660, 539,110.80 and 211,812

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Solution

The fourth proportional to 390,660, 539,110.80 and 211,812 is: 292,300.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,660 : 539,110.80 = 211,812 : x
  2. Step 2: Convert to fraction form
    390,660/539,110.80 = 211,812/x
  3. Step 3: Cross multiply
    390,660x = 539,110.80 × 211,812
  4. Step 4: Simplify right side
    390,660x = 114,190,136,769.60
  5. Step 5: Solve for x
    x = 114,190,136,769.60/390,660
  6. Step 6: Final answer
    x = 292,300.56

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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.