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Finding the Fourth Proportional to 202,297.29, 303,460.56 and 77,638.29

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Solution

The fourth proportional to 202,297.29, 303,460.56 and 77,638.29 is: 116,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,297.29 : 303,460.56 = 77,638.29 : x
  2. Step 2: Convert to fraction form
    202,297.29/303,460.56 = 77,638.29/x
  3. Step 3: Cross multiply
    202,297.29x = 303,460.56 × 77,638.29
  4. Step 4: Simplify right side
    202,297.29x = 23,560,158,960.84
  5. Step 5: Solve for x
    x = 23,560,158,960.84/202,297.29
  6. Step 6: Final answer
    x = 116,463.05

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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.