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Finding the Fourth Proportional to 224,324.69, 309,539.78 and 128,837.54

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Solution

The fourth proportional to 224,324.69, 309,539.78 and 128,837.54 is: 177,779.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,324.69 : 309,539.78 = 128,837.54 : x
  2. Step 2: Convert to fraction form
    224,324.69/309,539.78 = 128,837.54/x
  3. Step 3: Cross multiply
    224,324.69x = 309,539.78 × 128,837.54
  4. Step 4: Simplify right side
    224,324.69x = 39,880,342,658.98
  5. Step 5: Solve for x
    x = 39,880,342,658.98/224,324.69
  6. Step 6: Final answer
    x = 177,779.55

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1.5x scale

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.