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Finding the Fourth Proportional to 312,785.02, 431,644.05 and 169,544.41

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Solution

The fourth proportional to 312,785.02, 431,644.05 and 169,544.41 is: 233,971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,785.02 : 431,644.05 = 169,544.41 : x
  2. Step 2: Convert to fraction form
    312,785.02/431,644.05 = 169,544.41/x
  3. Step 3: Cross multiply
    312,785.02x = 431,644.05 × 169,544.41
  4. Step 4: Simplify right side
    312,785.02x = 73,182,835,787.26
  5. Step 5: Solve for x
    x = 73,182,835,787.26/312,785.02
  6. Step 6: Final answer
    x = 233,971.68

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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.