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Finding the Fourth Proportional to 429,415.83, 644,123.84 and 113,897.43

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Solution

The fourth proportional to 429,415.83, 644,123.84 and 113,897.43 is: 170,846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,415.83 : 644,123.84 = 113,897.43 : x
  2. Step 2: Convert to fraction form
    429,415.83/644,123.84 = 113,897.43/x
  3. Step 3: Cross multiply
    429,415.83x = 644,123.84 × 113,897.43
  4. Step 4: Simplify right side
    429,415.83x = 73,364,049,408.24
  5. Step 5: Solve for x
    x = 73,364,049,408.24/429,415.83
  6. Step 6: Final answer
    x = 170,846.17

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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.