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Finding the Fourth Proportional to 429,541.30, 644,307.84 and 261,108.14

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Solution

The fourth proportional to 429,541.30, 644,307.84 and 261,108.14 is: 391,659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,541.30 : 644,307.84 = 261,108.14 : x
  2. Step 2: Convert to fraction form
    429,541.30/644,307.84 = 261,108.14/x
  3. Step 3: Cross multiply
    429,541.30x = 644,307.84 × 261,108.14
  4. Step 4: Simplify right side
    429,541.30x = 168,234,021,689.82
  5. Step 5: Solve for x
    x = 168,234,021,689.82/429,541.30
  6. Step 6: Final answer
    x = 391,659.71

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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.