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Finding the Fourth Proportional to 486,043.68, 729,065.84 and 166,197.91

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Solution

The fourth proportional to 486,043.68, 729,065.84 and 166,197.91 is: 249,296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,043.68 : 729,065.84 = 166,197.91 : x
  2. Step 2: Convert to fraction form
    486,043.68/729,065.84 = 166,197.91/x
  3. Step 3: Cross multiply
    486,043.68x = 729,065.84 × 166,197.91
  4. Step 4: Simplify right side
    486,043.68x = 121,169,218,860.39
  5. Step 5: Solve for x
    x = 121,169,218,860.39/486,043.68
  6. Step 6: Final answer
    x = 249,296.97

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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.