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Finding the Fourth Proportional to 395,685.68, 546,046.74 and 214,397.56

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Solution

The fourth proportional to 395,685.68, 546,046.74 and 214,397.56 is: 295,868.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,685.68 : 546,046.74 = 214,397.56 : x
  2. Step 2: Convert to fraction form
    395,685.68/546,046.74 = 214,397.56/x
  3. Step 3: Cross multiply
    395,685.68x = 546,046.74 × 214,397.56
  4. Step 4: Simplify right side
    395,685.68x = 117,071,088,701.95
  5. Step 5: Solve for x
    x = 117,071,088,701.95/395,685.68
  6. Step 6: Final answer
    x = 295,868.90

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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.