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Finding the Fourth Proportional to 358,803.68, 538,231.68 and 145,469.12

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Solution

The fourth proportional to 358,803.68, 538,231.68 and 145,469.12 is: 218,214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,803.68 : 538,231.68 = 145,469.12 : x
  2. Step 2: Convert to fraction form
    358,803.68/538,231.68 = 145,469.12/x
  3. Step 3: Cross multiply
    358,803.68x = 538,231.68 × 145,469.12
  4. Step 4: Simplify right side
    358,803.68x = 78,296,088,845.72
  5. Step 5: Solve for x
    x = 78,296,088,845.72/358,803.68
  6. Step 6: Final answer
    x = 218,214.29

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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.