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Finding the Fourth Proportional to 486,097.12, 729,259.09 and 166,251.47

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Solution

The fourth proportional to 486,097.12, 729,259.09 and 166,251.47 is: 249,415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,097.12 : 729,259.09 = 166,251.47 : x
  2. Step 2: Convert to fraction form
    486,097.12/729,259.09 = 166,251.47/x
  3. Step 3: Cross multiply
    486,097.12x = 729,259.09 × 166,251.47
  4. Step 4: Simplify right side
    486,097.12x = 121,240,391,661.44
  5. Step 5: Solve for x
    x = 121,240,391,661.44/486,097.12
  6. Step 6: Final answer
    x = 249,415.98

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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.