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Finding the Fourth Proportional to 228,898.10, 343,347.15 and 212,309.30

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Solution

The fourth proportional to 228,898.10, 343,347.15 and 212,309.30 is: 318,463.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,898.10 : 343,347.15 = 212,309.30 : x
  2. Step 2: Convert to fraction form
    228,898.10/343,347.15 = 212,309.30/x
  3. Step 3: Cross multiply
    228,898.10x = 343,347.15 × 212,309.30
  4. Step 4: Simplify right side
    228,898.10x = 72,895,793,073.50
  5. Step 5: Solve for x
    x = 72,895,793,073.50/228,898.10
  6. Step 6: Final answer
    x = 318,463.95

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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.