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Finding the Fourth Proportional to 290,174.81, 435,265.40 and 87,772.97

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Solution

The fourth proportional to 290,174.81, 435,265.40 and 87,772.97 is: 131,660.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,174.81 : 435,265.40 = 87,772.97 : x
  2. Step 2: Convert to fraction form
    290,174.81/435,265.40 = 87,772.97/x
  3. Step 3: Cross multiply
    290,174.81x = 435,265.40 × 87,772.97
  4. Step 4: Simplify right side
    290,174.81x = 38,204,535,261.74
  5. Step 5: Solve for x
    x = 38,204,535,261.74/290,174.81
  6. Step 6: Final answer
    x = 131,660.42

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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.