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Finding the Fourth Proportional to 395,642.75, 545,987.12 and 214,355.93

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Solution

The fourth proportional to 395,642.75, 545,987.12 and 214,355.93 is: 295,811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,642.75 : 545,987.12 = 214,355.93 : x
  2. Step 2: Convert to fraction form
    395,642.75/545,987.12 = 214,355.93/x
  3. Step 3: Cross multiply
    395,642.75x = 545,987.12 × 214,355.93
  4. Step 4: Simplify right side
    395,642.75x = 117,035,573,073.91
  5. Step 5: Solve for x
    x = 117,035,573,073.91/395,642.75
  6. Step 6: Final answer
    x = 295,811.25

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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.