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Finding the Fourth Proportional to 442,930.72, 664,501.91 and 143,411.63

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Solution

The fourth proportional to 442,930.72, 664,501.91 and 143,411.63 is: 215,151.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,930.72 : 664,501.91 = 143,411.63 : x
  2. Step 2: Convert to fraction form
    442,930.72/664,501.91 = 143,411.63/x
  3. Step 3: Cross multiply
    442,930.72x = 664,501.91 × 143,411.63
  4. Step 4: Simplify right side
    442,930.72x = 95,297,302,051.21
  5. Step 5: Solve for x
    x = 95,297,302,051.21/442,930.72
  6. Step 6: Final answer
    x = 215,151.71

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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.