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Finding the Fourth Proportional to 205,640.40, 307,769.40 and 143,432.40

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Solution

The fourth proportional to 205,640.40, 307,769.40 and 143,432.40 is: 214,666.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,640.40 : 307,769.40 = 143,432.40 : x
  2. Step 2: Convert to fraction form
    205,640.40/307,769.40 = 143,432.40/x
  3. Step 3: Cross multiply
    205,640.40x = 307,769.40 × 143,432.40
  4. Step 4: Simplify right side
    205,640.40x = 44,144,103,688.56
  5. Step 5: Solve for x
    x = 44,144,103,688.56/205,640.40
  6. Step 6: Final answer
    x = 214,666.49

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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.