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Finding the Fourth Proportional to 289,726.38, 434,483.10 and 100,138.14

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Solution

The fourth proportional to 289,726.38, 434,483.10 and 100,138.14 is: 150,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,726.38 : 434,483.10 = 100,138.14 : x
  2. Step 2: Convert to fraction form
    289,726.38/434,483.10 = 100,138.14/x
  3. Step 3: Cross multiply
    289,726.38x = 434,483.10 × 100,138.14
  4. Step 4: Simplify right side
    289,726.38x = 43,508,329,495.43
  5. Step 5: Solve for x
    x = 43,508,329,495.43/289,726.38
  6. Step 6: Final answer
    x = 150,170.41

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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.