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Finding the Fourth Proportional to 613,514.66, 920,321.19 and 214,146.59

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Solution

The fourth proportional to 613,514.66, 920,321.19 and 214,146.59 is: 321,237.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,514.66 : 920,321.19 = 214,146.59 : x
  2. Step 2: Convert to fraction form
    613,514.66/920,321.19 = 214,146.59/x
  3. Step 3: Cross multiply
    613,514.66x = 920,321.19 × 214,146.59
  4. Step 4: Simplify right side
    613,514.66x = 197,083,639,941.64
  5. Step 5: Solve for x
    x = 197,083,639,941.64/613,514.66
  6. Step 6: Final answer
    x = 321,237.05

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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.