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Finding the Fourth Proportional to 418,701.42, 577,791.36 and 227,714.76

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Solution

The fourth proportional to 418,701.42, 577,791.36 and 227,714.76 is: 314,237.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,701.42 : 577,791.36 = 227,714.76 : x
  2. Step 2: Convert to fraction form
    418,701.42/577,791.36 = 227,714.76/x
  3. Step 3: Cross multiply
    418,701.42x = 577,791.36 × 227,714.76
  4. Step 4: Simplify right side
    418,701.42x = 131,571,620,872.47
  5. Step 5: Solve for x
    x = 131,571,620,872.47/418,701.42
  6. Step 6: Final answer
    x = 314,237.34

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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.