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Finding the Fourth Proportional to 311,117.70, 465,898.95 and 205,364.10

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Solution

The fourth proportional to 311,117.70, 465,898.95 and 205,364.10 is: 307,532.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,117.70 : 465,898.95 = 205,364.10 : x
  2. Step 2: Convert to fraction form
    311,117.70/465,898.95 = 205,364.10/x
  3. Step 3: Cross multiply
    311,117.70x = 465,898.95 × 205,364.10
  4. Step 4: Simplify right side
    311,117.70x = 95,678,918,557.70
  5. Step 5: Solve for x
    x = 95,678,918,557.70/311,117.70
  6. Step 6: Final answer
    x = 307,532.87

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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.