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Finding the Fourth Proportional to 486,035.52, 729,053.67 and 166,189.80

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Solution

The fourth proportional to 486,035.52, 729,053.67 and 166,189.80 is: 249,284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,035.52 : 729,053.67 = 166,189.80 : x
  2. Step 2: Convert to fraction form
    486,035.52/729,053.67 = 166,189.80/x
  3. Step 3: Cross multiply
    486,035.52x = 729,053.67 × 166,189.80
  4. Step 4: Simplify right side
    486,035.52x = 121,161,283,606.57
  5. Step 5: Solve for x
    x = 121,161,283,606.57/486,035.52
  6. Step 6: Final answer
    x = 249,284.83

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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.