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Finding the Fourth Proportional to 421,255.69, 631,883.53 and 140,772.94

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Solution

The fourth proportional to 421,255.69, 631,883.53 and 140,772.94 is: 211,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,255.69 : 631,883.53 = 140,772.94 : x
  2. Step 2: Convert to fraction form
    421,255.69/631,883.53 = 140,772.94/x
  3. Step 3: Cross multiply
    421,255.69x = 631,883.53 × 140,772.94
  4. Step 4: Simplify right side
    421,255.69x = 88,952,100,851.94
  5. Step 5: Solve for x
    x = 88,952,100,851.94/421,255.69
  6. Step 6: Final answer
    x = 211,159.41

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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.