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Finding the Fourth Proportional to 395,733, 546,146.10 and 216,919.56

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Solution

The fourth proportional to 395,733, 546,146.10 and 216,919.56 is: 299,367.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,733 : 546,146.10 = 216,919.56 : x
  2. Step 2: Convert to fraction form
    395,733/546,146.10 = 216,919.56/x
  3. Step 3: Cross multiply
    395,733x = 546,146.10 × 216,919.56
  4. Step 4: Simplify right side
    395,733x = 118,469,771,707.72
  5. Step 5: Solve for x
    x = 118,469,771,707.72/395,733
  6. Step 6: Final answer
    x = 299,367.94

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1.5x scale

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.