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Finding the Fourth Proportional to 429,031.87, 643,755.56 and 176,498.98

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Solution

The fourth proportional to 429,031.87, 643,755.56 and 176,498.98 is: 264,833.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,031.87 : 643,755.56 = 176,498.98 : x
  2. Step 2: Convert to fraction form
    429,031.87/643,755.56 = 176,498.98/x
  3. Step 3: Cross multiply
    429,031.87x = 643,755.56 × 176,498.98
  4. Step 4: Simplify right side
    429,031.87x = 113,622,199,709.33
  5. Step 5: Solve for x
    x = 113,622,199,709.33/429,031.87
  6. Step 6: Final answer
    x = 264,833.94

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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.