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Finding the Fourth Proportional to 614,121.69, 921,268.67 and 214,671.60

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Solution

The fourth proportional to 614,121.69, 921,268.67 and 214,671.60 is: 322,037.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,121.69 : 921,268.67 = 214,671.60 : x
  2. Step 2: Convert to fraction form
    614,121.69/921,268.67 = 214,671.60/x
  3. Step 3: Cross multiply
    614,121.69x = 921,268.67 × 214,671.60
  4. Step 4: Simplify right side
    614,121.69x = 197,770,218,345.41
  5. Step 5: Solve for x
    x = 197,770,218,345.41/614,121.69
  6. Step 6: Final answer
    x = 322,037.51

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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.