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Finding the Fourth Proportional to 210,449.56, 315,640.32 and 77,296.90

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Solution

The fourth proportional to 210,449.56, 315,640.32 and 77,296.90 is: 115,932.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,449.56 : 315,640.32 = 77,296.90 : x
  2. Step 2: Convert to fraction form
    210,449.56/315,640.32 = 77,296.90/x
  3. Step 3: Cross multiply
    210,449.56x = 315,640.32 × 77,296.90
  4. Step 4: Simplify right side
    210,449.56x = 24,398,018,251.01
  5. Step 5: Solve for x
    x = 24,398,018,251.01/210,449.56
  6. Step 6: Final answer
    x = 115,932.85

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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.