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Finding the Fourth Proportional to 418,523.52, 577,555.68 and 227,541.84

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Solution

The fourth proportional to 418,523.52, 577,555.68 and 227,541.84 is: 314,004.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,523.52 : 577,555.68 = 227,541.84 : x
  2. Step 2: Convert to fraction form
    418,523.52/577,555.68 = 227,541.84/x
  3. Step 3: Cross multiply
    418,523.52x = 577,555.68 × 227,541.84
  4. Step 4: Simplify right side
    418,523.52x = 131,418,082,129.65
  5. Step 5: Solve for x
    x = 131,418,082,129.65/418,523.52
  6. Step 6: Final answer
    x = 314,004.05

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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.