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Finding the Fourth Proportional to 287,214.71, 396,296.25 and 166,348.77

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Solution

The fourth proportional to 287,214.71, 396,296.25 and 166,348.77 is: 229,526.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,214.71 : 396,296.25 = 166,348.77 : x
  2. Step 2: Convert to fraction form
    287,214.71/396,296.25 = 166,348.77/x
  3. Step 3: Cross multiply
    287,214.71x = 396,296.25 × 166,348.77
  4. Step 4: Simplify right side
    287,214.71x = 65,923,393,743.11
  5. Step 5: Solve for x
    x = 65,923,393,743.11/287,214.71
  6. Step 6: Final answer
    x = 229,526.53

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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.