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Finding the Fourth Proportional to 264,344.68, 364,796 and 143,486

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Solution

The fourth proportional to 264,344.68, 364,796 and 143,486 is: 198,010.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,344.68 : 364,796 = 143,486 : x
  2. Step 2: Convert to fraction form
    264,344.68/364,796 = 143,486/x
  3. Step 3: Cross multiply
    264,344.68x = 364,796 × 143,486
  4. Step 4: Simplify right side
    264,344.68x = 52,343,118,856
  5. Step 5: Solve for x
    x = 52,343,118,856/264,344.68
  6. Step 6: Final answer
    x = 198,010.87

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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.