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Finding the Fourth Proportional to 228,817.39, 343,222.40 and 71,046

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Solution

The fourth proportional to 228,817.39, 343,222.40 and 71,046 is: 106,567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,817.39 : 343,222.40 = 71,046 : x
  2. Step 2: Convert to fraction form
    228,817.39/343,222.40 = 71,046/x
  3. Step 3: Cross multiply
    228,817.39x = 343,222.40 × 71,046
  4. Step 4: Simplify right side
    228,817.39x = 24,384,578,630.40
  5. Step 5: Solve for x
    x = 24,384,578,630.40/228,817.39
  6. Step 6: Final answer
    x = 106,567.86

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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.