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Finding the Fourth Proportional to 309,856.50, 427,601.97 and 175,720.50

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Solution

The fourth proportional to 309,856.50, 427,601.97 and 175,720.50 is: 242,494.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,856.50 : 427,601.97 = 175,720.50 : x
  2. Step 2: Convert to fraction form
    309,856.50/427,601.97 = 175,720.50/x
  3. Step 3: Cross multiply
    309,856.50x = 427,601.97 × 175,720.50
  4. Step 4: Simplify right side
    309,856.50x = 75,138,431,969.39
  5. Step 5: Solve for x
    x = 75,138,431,969.39/309,856.50
  6. Step 6: Final answer
    x = 242,494.29

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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.