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Finding the Fourth Proportional to 287,214.69, 396,296.21 and 166,348.76

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Solution

The fourth proportional to 287,214.69, 396,296.21 and 166,348.76 is: 229,526.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,214.69 : 396,296.21 = 166,348.76 : x
  2. Step 2: Convert to fraction form
    287,214.69/396,296.21 = 166,348.76/x
  3. Step 3: Cross multiply
    287,214.69x = 396,296.21 × 166,348.76
  4. Step 4: Simplify right side
    287,214.69x = 65,923,381,560.59
  5. Step 5: Solve for x
    x = 65,923,381,560.59/287,214.69
  6. Step 6: Final answer
    x = 229,526.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.