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Finding the Fourth Proportional to 205,111.70, 307,667.55 and 200,503.70

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Solution

The fourth proportional to 205,111.70, 307,667.55 and 200,503.70 is: 300,755.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,111.70 : 307,667.55 = 200,503.70 : x
  2. Step 2: Convert to fraction form
    205,111.70/307,667.55 = 200,503.70/x
  3. Step 3: Cross multiply
    205,111.70x = 307,667.55 × 200,503.70
  4. Step 4: Simplify right side
    205,111.70x = 61,688,482,144.94
  5. Step 5: Solve for x
    x = 61,688,482,144.94/205,111.70
  6. Step 6: Final answer
    x = 300,755.55

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1.5x scale

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.