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Finding the Fourth Proportional to 421,059.06, 631,593.60 and 117,434.76

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Solution

The fourth proportional to 421,059.06, 631,593.60 and 117,434.76 is: 176,153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,059.06 : 631,593.60 = 117,434.76 : x
  2. Step 2: Convert to fraction form
    421,059.06/631,593.60 = 117,434.76/x
  3. Step 3: Cross multiply
    421,059.06x = 631,593.60 × 117,434.76
  4. Step 4: Simplify right side
    421,059.06x = 74,171,042,539.95
  5. Step 5: Solve for x
    x = 74,171,042,539.95/421,059.06
  6. Step 6: Final answer
    x = 176,153.54

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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.