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Finding the Fourth Proportional to 395,031.53, 545,140.53 and 213,742.90

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Solution

The fourth proportional to 395,031.53, 545,140.53 and 213,742.90 is: 294,963.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,031.53 : 545,140.53 = 213,742.90 : x
  2. Step 2: Convert to fraction form
    395,031.53/545,140.53 = 213,742.90/x
  3. Step 3: Cross multiply
    395,031.53x = 545,140.53 × 213,742.90
  4. Step 4: Simplify right side
    395,031.53x = 116,519,918,471.16
  5. Step 5: Solve for x
    x = 116,519,918,471.16/395,031.53
  6. Step 6: Final answer
    x = 294,963.59

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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.