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Finding the Fourth Proportional to 312,782.07, 431,627.70 and 169,539.04

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Solution

The fourth proportional to 312,782.07, 431,627.70 and 169,539.04 is: 233,957.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,782.07 : 431,627.70 = 169,539.04 : x
  2. Step 2: Convert to fraction form
    312,782.07/431,627.70 = 169,539.04/x
  3. Step 3: Cross multiply
    312,782.07x = 431,627.70 × 169,539.04
  4. Step 4: Simplify right side
    312,782.07x = 73,177,744,816.34
  5. Step 5: Solve for x
    x = 73,177,744,816.34/312,782.07
  6. Step 6: Final answer
    x = 233,957.61

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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.