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Finding the Fourth Proportional to 208,534.60, 312,801.90 and 199,433.80

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Solution

The fourth proportional to 208,534.60, 312,801.90 and 199,433.80 is: 299,150.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,534.60 : 312,801.90 = 199,433.80 : x
  2. Step 2: Convert to fraction form
    208,534.60/312,801.90 = 199,433.80/x
  3. Step 3: Cross multiply
    208,534.60x = 312,801.90 × 199,433.80
  4. Step 4: Simplify right side
    208,534.60x = 62,383,271,564.22
  5. Step 5: Solve for x
    x = 62,383,271,564.22/208,534.60
  6. Step 6: Final answer
    x = 299,150.70

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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.