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Finding the Fourth Proportional to 429,640.45, 644,296.65 and 130,021.45

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Solution

The fourth proportional to 429,640.45, 644,296.65 and 130,021.45 is: 194,982.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,640.45 : 644,296.65 = 130,021.45 : x
  2. Step 2: Convert to fraction form
    429,640.45/644,296.65 = 130,021.45/x
  3. Step 3: Cross multiply
    429,640.45x = 644,296.65 × 130,021.45
  4. Step 4: Simplify right side
    429,640.45x = 83,772,384,663.14
  5. Step 5: Solve for x
    x = 83,772,384,663.14/429,640.45
  6. Step 6: Final answer
    x = 194,982.54

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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.