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Finding the Fourth Proportional to 395,403.69, 545,656.10 and 214,115.61

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Solution

The fourth proportional to 395,403.69, 545,656.10 and 214,115.61 is: 295,479.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,403.69 : 545,656.10 = 214,115.61 : x
  2. Step 2: Convert to fraction form
    395,403.69/545,656.10 = 214,115.61/x
  3. Step 3: Cross multiply
    395,403.69x = 545,656.10 × 214,115.61
  4. Step 4: Simplify right side
    395,403.69x = 116,833,488,701.72
  5. Step 5: Solve for x
    x = 116,833,488,701.72/395,403.69
  6. Step 6: Final answer
    x = 295,479.00

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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.