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Finding the Fourth Proportional to 289,948.50, 400,129.65 and 169,172.82

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Solution

The fourth proportional to 289,948.50, 400,129.65 and 169,172.82 is: 233,458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,948.50 : 400,129.65 = 169,172.82 : x
  2. Step 2: Convert to fraction form
    289,948.50/400,129.65 = 169,172.82/x
  3. Step 3: Cross multiply
    289,948.50x = 400,129.65 × 169,172.82
  4. Step 4: Simplify right side
    289,948.50x = 67,691,061,256.11
  5. Step 5: Solve for x
    x = 67,691,061,256.11/289,948.50
  6. Step 6: Final answer
    x = 233,458.91

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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.