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Finding the Fourth Proportional to 283,967.25, 392,019.42 and 219,291.29

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Solution

The fourth proportional to 283,967.25, 392,019.42 and 219,291.29 is: 302,733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,967.25 : 392,019.42 = 219,291.29 : x
  2. Step 2: Convert to fraction form
    283,967.25/392,019.42 = 219,291.29/x
  3. Step 3: Cross multiply
    283,967.25x = 392,019.42 × 219,291.29
  4. Step 4: Simplify right side
    283,967.25x = 85,966,441,260.30
  5. Step 5: Solve for x
    x = 85,966,441,260.30/283,967.25
  6. Step 6: Final answer
    x = 302,733.65

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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.