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Finding the Fourth Proportional to 309,592.35, 426,841.92 and 200,503.93

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Solution

The fourth proportional to 309,592.35, 426,841.92 and 200,503.93 is: 276,439.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,592.35 : 426,841.92 = 200,503.93 : x
  2. Step 2: Convert to fraction form
    309,592.35/426,841.92 = 200,503.93/x
  3. Step 3: Cross multiply
    309,592.35x = 426,841.92 × 200,503.93
  4. Step 4: Simplify right side
    309,592.35x = 85,583,483,734.19
  5. Step 5: Solve for x
    x = 85,583,483,734.19/309,592.35
  6. Step 6: Final answer
    x = 276,439.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.