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Finding the Fourth Proportional to 395,473.80, 545,752.98 and 214,185.18

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Solution

The fourth proportional to 395,473.80, 545,752.98 and 214,185.18 is: 295,575.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,473.80 : 545,752.98 = 214,185.18 : x
  2. Step 2: Convert to fraction form
    395,473.80/545,752.98 = 214,185.18/x
  3. Step 3: Cross multiply
    395,473.80x = 545,752.98 × 214,185.18
  4. Step 4: Simplify right side
    395,473.80x = 116,892,200,256.84
  5. Step 5: Solve for x
    x = 116,892,200,256.84/395,473.80
  6. Step 6: Final answer
    x = 295,575.08

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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.