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Finding the Fourth Proportional to 408,031.78, 563,066.79 and 226,742.08

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Solution

The fourth proportional to 408,031.78, 563,066.79 and 226,742.08 is: 312,894.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,031.78 : 563,066.79 = 226,742.08 : x
  2. Step 2: Convert to fraction form
    408,031.78/563,066.79 = 226,742.08/x
  3. Step 3: Cross multiply
    408,031.78x = 563,066.79 × 226,742.08
  4. Step 4: Simplify right side
    408,031.78x = 127,670,935,143.52
  5. Step 5: Solve for x
    x = 127,670,935,143.52/408,031.78
  6. Step 6: Final answer
    x = 312,894.59

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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.