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Finding the Fourth Proportional to 457,690.60, 686,535.90 and 208,858.60

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Solution

The fourth proportional to 457,690.60, 686,535.90 and 208,858.60 is: 313,287.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,690.60 : 686,535.90 = 208,858.60 : x
  2. Step 2: Convert to fraction form
    457,690.60/686,535.90 = 208,858.60/x
  3. Step 3: Cross multiply
    457,690.60x = 686,535.90 × 208,858.60
  4. Step 4: Simplify right side
    457,690.60x = 143,388,926,923.74
  5. Step 5: Solve for x
    x = 143,388,926,923.74/457,690.60
  6. Step 6: Final answer
    x = 313,287.90

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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.