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Finding the Fourth Proportional to 412,133.87, 618,022.59 and 142,290.47

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Solution

The fourth proportional to 412,133.87, 618,022.59 and 142,290.47 is: 213,374.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,133.87 : 618,022.59 = 142,290.47 : x
  2. Step 2: Convert to fraction form
    412,133.87/618,022.59 = 142,290.47/x
  3. Step 3: Cross multiply
    412,133.87x = 618,022.59 × 142,290.47
  4. Step 4: Simplify right side
    412,133.87x = 87,938,721,711.60
  5. Step 5: Solve for x
    x = 87,938,721,711.60/412,133.87
  6. Step 6: Final answer
    x = 213,374.17

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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.