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Finding the Fourth Proportional to 353,364.64, 487,674.80 and 208,171.76

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Solution

The fourth proportional to 353,364.64, 487,674.80 and 208,171.76 is: 287,295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,364.64 : 487,674.80 = 208,171.76 : x
  2. Step 2: Convert to fraction form
    353,364.64/487,674.80 = 208,171.76/x
  3. Step 3: Cross multiply
    353,364.64x = 487,674.80 × 208,171.76
  4. Step 4: Simplify right side
    353,364.64x = 101,520,123,163.26
  5. Step 5: Solve for x
    x = 101,520,123,163.26/353,364.64
  6. Step 6: Final answer
    x = 287,295.65

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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.