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Finding the Fourth Proportional to 379,031.91, 523,070.78 and 209,255.91

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Solution

The fourth proportional to 379,031.91, 523,070.78 and 209,255.91 is: 288,776.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,031.91 : 523,070.78 = 209,255.91 : x
  2. Step 2: Convert to fraction form
    379,031.91/523,070.78 = 209,255.91/x
  3. Step 3: Cross multiply
    379,031.91x = 523,070.78 × 209,255.91
  4. Step 4: Simplify right side
    379,031.91x = 109,455,651,017.03
  5. Step 5: Solve for x
    x = 109,455,651,017.03/379,031.91
  6. Step 6: Final answer
    x = 288,776.88

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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.