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Finding the Fourth Proportional to 457,367.70, 686,051.55 and 208,049.70

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Solution

The fourth proportional to 457,367.70, 686,051.55 and 208,049.70 is: 312,074.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,367.70 : 686,051.55 = 208,049.70 : x
  2. Step 2: Convert to fraction form
    457,367.70/686,051.55 = 208,049.70/x
  3. Step 3: Cross multiply
    457,367.70x = 686,051.55 × 208,049.70
  4. Step 4: Simplify right side
    457,367.70x = 142,732,819,162.04
  5. Step 5: Solve for x
    x = 142,732,819,162.04/457,367.70
  6. Step 6: Final answer
    x = 312,074.55

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Similar ratio
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1.5x scale

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.