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Finding the Fourth Proportional to 393,291, 542,742.12 and 214,443

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Solution

The fourth proportional to 393,291, 542,742.12 and 214,443 is: 295,931.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,291 : 542,742.12 = 214,443 : x
  2. Step 2: Convert to fraction form
    393,291/542,742.12 = 214,443/x
  3. Step 3: Cross multiply
    393,291x = 542,742.12 × 214,443
  4. Step 4: Simplify right side
    393,291x = 116,387,248,439.16
  5. Step 5: Solve for x
    x = 116,387,248,439.16/393,291
  6. Step 6: Final answer
    x = 295,931.63

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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.