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Finding the Fourth Proportional to 398,086.20, 597,129.30 and 319,354.20

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Solution

The fourth proportional to 398,086.20, 597,129.30 and 319,354.20 is: 479,031.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,086.20 : 597,129.30 = 319,354.20 : x
  2. Step 2: Convert to fraction form
    398,086.20/597,129.30 = 319,354.20/x
  3. Step 3: Cross multiply
    398,086.20x = 597,129.30 × 319,354.20
  4. Step 4: Simplify right side
    398,086.20x = 190,695,749,898.06
  5. Step 5: Solve for x
    x = 190,695,749,898.06/398,086.20
  6. Step 6: Final answer
    x = 479,031.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.