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Finding the Fourth Proportional to 429,644.20, 643,484.64 and 205,161.88

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Solution

The fourth proportional to 429,644.20, 643,484.64 and 205,161.88 is: 307,274.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,644.20 : 643,484.64 = 205,161.88 : x
  2. Step 2: Convert to fraction form
    429,644.20/643,484.64 = 205,161.88/x
  3. Step 3: Cross multiply
    429,644.20x = 643,484.64 × 205,161.88
  4. Step 4: Simplify right side
    429,644.20x = 132,018,518,493.52
  5. Step 5: Solve for x
    x = 132,018,518,493.52/429,644.20
  6. Step 6: Final answer
    x = 307,274.06

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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.