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Finding the Fourth Proportional to 429,404.07, 644,106.14 and 133,916.07

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Solution

The fourth proportional to 429,404.07, 644,106.14 and 133,916.07 is: 200,874.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,404.07 : 644,106.14 = 133,916.07 : x
  2. Step 2: Convert to fraction form
    429,404.07/644,106.14 = 133,916.07/x
  3. Step 3: Cross multiply
    429,404.07x = 644,106.14 × 133,916.07
  4. Step 4: Simplify right side
    429,404.07x = 86,256,162,262.09
  5. Step 5: Solve for x
    x = 86,256,162,262.09/429,404.07
  6. Step 6: Final answer
    x = 200,874.11

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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.