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Finding the Fourth Proportional to 459,796.88, 689,695.71 and 219,854.33

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Solution

The fourth proportional to 459,796.88, 689,695.71 and 219,854.33 is: 329,781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,796.88 : 689,695.71 = 219,854.33 : x
  2. Step 2: Convert to fraction form
    459,796.88/689,695.71 = 219,854.33/x
  3. Step 3: Cross multiply
    459,796.88x = 689,695.71 × 219,854.33
  4. Step 4: Simplify right side
    459,796.88x = 151,632,586,539.35
  5. Step 5: Solve for x
    x = 151,632,586,539.35/459,796.88
  6. Step 6: Final answer
    x = 329,781.68

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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.