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Finding the Fourth Proportional to 421,156.25, 631,641.59 and 121,571.76

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Solution

The fourth proportional to 421,156.25, 631,641.59 and 121,571.76 is: 182,330.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,156.25 : 631,641.59 = 121,571.76 : x
  2. Step 2: Convert to fraction form
    421,156.25/631,641.59 = 121,571.76/x
  3. Step 3: Cross multiply
    421,156.25x = 631,641.59 × 121,571.76
  4. Step 4: Simplify right side
    421,156.25x = 76,789,780,909.54
  5. Step 5: Solve for x
    x = 76,789,780,909.54/421,156.25
  6. Step 6: Final answer
    x = 182,330.86

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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.