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Finding the Fourth Proportional to 277,508.10, 416,007 and 99,971.69

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Solution

The fourth proportional to 277,508.10, 416,007 and 99,971.69 is: 149,865.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,508.10 : 416,007 = 99,971.69 : x
  2. Step 2: Convert to fraction form
    277,508.10/416,007 = 99,971.69/x
  3. Step 3: Cross multiply
    277,508.10x = 416,007 × 99,971.69
  4. Step 4: Simplify right side
    277,508.10x = 41,588,922,841.83
  5. Step 5: Solve for x
    x = 41,588,922,841.83/277,508.10
  6. Step 6: Final answer
    x = 149,865.62

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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.