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Finding the Fourth Proportional to 312,223.69, 430,876.56 and 191,431.61

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Solution

The fourth proportional to 312,223.69, 430,876.56 and 191,431.61 is: 264,180.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,223.69 : 430,876.56 = 191,431.61 : x
  2. Step 2: Convert to fraction form
    312,223.69/430,876.56 = 191,431.61/x
  3. Step 3: Cross multiply
    312,223.69x = 430,876.56 × 191,431.61
  4. Step 4: Simplify right side
    312,223.69x = 82,483,393,592.06
  5. Step 5: Solve for x
    x = 82,483,393,592.06/312,223.69
  6. Step 6: Final answer
    x = 264,180.45

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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.