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Finding the Fourth Proportional to 296,781.76, 445,172.81 and 208,429.69

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Solution

The fourth proportional to 296,781.76, 445,172.81 and 208,429.69 is: 312,644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,781.76 : 445,172.81 = 208,429.69 : x
  2. Step 2: Convert to fraction form
    296,781.76/445,172.81 = 208,429.69/x
  3. Step 3: Cross multiply
    296,781.76x = 445,172.81 × 208,429.69
  4. Step 4: Simplify right side
    296,781.76x = 92,787,227,516.72
  5. Step 5: Solve for x
    x = 92,787,227,516.72/296,781.76
  6. Step 6: Final answer
    x = 312,644.65

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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.