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Finding the Fourth Proportional to 429,638.99, 644,708.25 and 176,944.91

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Solution

The fourth proportional to 429,638.99, 644,708.25 and 176,944.91 is: 265,520.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,638.99 : 644,708.25 = 176,944.91 : x
  2. Step 2: Convert to fraction form
    429,638.99/644,708.25 = 176,944.91/x
  3. Step 3: Cross multiply
    429,638.99x = 644,708.25 × 176,944.91
  4. Step 4: Simplify right side
    429,638.99x = 114,077,840,048.97
  5. Step 5: Solve for x
    x = 114,077,840,048.97/429,638.99
  6. Step 6: Final answer
    x = 265,520.23

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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.