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Finding the Fourth Proportional to 486,670.20, 671,538.50 and 271,782.86

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Solution

The fourth proportional to 486,670.20, 671,538.50 and 271,782.86 is: 375,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,670.20 : 671,538.50 = 271,782.86 : x
  2. Step 2: Convert to fraction form
    486,670.20/671,538.50 = 271,782.86/x
  3. Step 3: Cross multiply
    486,670.20x = 671,538.50 × 271,782.86
  4. Step 4: Simplify right side
    486,670.20x = 182,512,654,130.11
  5. Step 5: Solve for x
    x = 182,512,654,130.11/486,670.20
  6. Step 6: Final answer
    x = 375,023.28

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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.