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Finding the Fourth Proportional to 421,059.79, 631,629.56 and 117,474.13

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Solution

The fourth proportional to 421,059.79, 631,629.56 and 117,474.13 is: 176,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,059.79 : 631,629.56 = 117,474.13 : x
  2. Step 2: Convert to fraction form
    421,059.79/631,629.56 = 117,474.13/x
  3. Step 3: Cross multiply
    421,059.79x = 631,629.56 × 117,474.13
  4. Step 4: Simplify right side
    421,059.79x = 74,200,133,043.28
  5. Step 5: Solve for x
    x = 74,200,133,043.28/421,059.79
  6. Step 6: Final answer
    x = 176,222.32

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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.