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Finding the Fourth Proportional to 313,004.34, 431,955.75 and 177,035.63

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Solution

The fourth proportional to 313,004.34, 431,955.75 and 177,035.63 is: 244,314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,004.34 : 431,955.75 = 177,035.63 : x
  2. Step 2: Convert to fraction form
    313,004.34/431,955.75 = 177,035.63/x
  3. Step 3: Cross multiply
    313,004.34x = 431,955.75 × 177,035.63
  4. Step 4: Simplify right side
    313,004.34x = 76,471,556,173.59
  5. Step 5: Solve for x
    x = 76,471,556,173.59/313,004.34
  6. Step 6: Final answer
    x = 244,314.68

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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.