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Finding the Fourth Proportional to 289,830.29, 399,890.13 and 167,292.68

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Solution

The fourth proportional to 289,830.29, 399,890.13 and 167,292.68 is: 230,820.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,830.29 : 399,890.13 = 167,292.68 : x
  2. Step 2: Convert to fraction form
    289,830.29/399,890.13 = 167,292.68/x
  3. Step 3: Cross multiply
    289,830.29x = 399,890.13 × 167,292.68
  4. Step 4: Simplify right side
    289,830.29x = 66,898,691,553.25
  5. Step 5: Solve for x
    x = 66,898,691,553.25/289,830.29
  6. Step 6: Final answer
    x = 230,820.22

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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.