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Finding the Fourth Proportional to 229,205.70, 343,808.55 and 208,538.55

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Solution

The fourth proportional to 229,205.70, 343,808.55 and 208,538.55 is: 312,807.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,205.70 : 343,808.55 = 208,538.55 : x
  2. Step 2: Convert to fraction form
    229,205.70/343,808.55 = 208,538.55/x
  3. Step 3: Cross multiply
    229,205.70x = 343,808.55 × 208,538.55
  4. Step 4: Simplify right side
    229,205.70x = 71,697,336,494.60
  5. Step 5: Solve for x
    x = 71,697,336,494.60/229,205.70
  6. Step 6: Final answer
    x = 312,807.83

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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.