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Finding the Fourth Proportional to 243,441.78, 364,618.16 and 140,733.26

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Solution

The fourth proportional to 243,441.78, 364,618.16 and 140,733.26 is: 210,785.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,441.78 : 364,618.16 = 140,733.26 : x
  2. Step 2: Convert to fraction form
    243,441.78/364,618.16 = 140,733.26/x
  3. Step 3: Cross multiply
    243,441.78x = 364,618.16 × 140,733.26
  4. Step 4: Simplify right side
    243,441.78x = 51,313,899,785.24
  5. Step 5: Solve for x
    x = 51,313,899,785.24/243,441.78
  6. Step 6: Final answer
    x = 210,785.10

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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.