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Finding the Fourth Proportional to 418,137.42, 577,034.55 and 227,153.82

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Solution

The fourth proportional to 418,137.42, 577,034.55 and 227,153.82 is: 313,474.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,137.42 : 577,034.55 = 227,153.82 : x
  2. Step 2: Convert to fraction form
    418,137.42/577,034.55 = 227,153.82/x
  3. Step 3: Cross multiply
    418,137.42x = 577,034.55 × 227,153.82
  4. Step 4: Simplify right side
    418,137.42x = 131,075,602,304.48
  5. Step 5: Solve for x
    x = 131,075,602,304.48/418,137.42
  6. Step 6: Final answer
    x = 313,474.94

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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.