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Finding the Fourth Proportional to 429,959.44, 644,953.72 and 114,416.65

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Solution

The fourth proportional to 429,959.44, 644,953.72 and 114,416.65 is: 171,628.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,959.44 : 644,953.72 = 114,416.65 : x
  2. Step 2: Convert to fraction form
    429,959.44/644,953.72 = 114,416.65/x
  3. Step 3: Cross multiply
    429,959.44x = 644,953.72 × 114,416.65
  4. Step 4: Simplify right side
    429,959.44x = 73,793,444,047.44
  5. Step 5: Solve for x
    x = 73,793,444,047.44/429,959.44
  6. Step 6: Final answer
    x = 171,628.85

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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.