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Finding the Fourth Proportional to 313,129.86, 469,490.67 and 133,121.94

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Solution

The fourth proportional to 313,129.86, 469,490.67 and 133,121.94 is: 199,596.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,129.86 : 469,490.67 = 133,121.94 : x
  2. Step 2: Convert to fraction form
    313,129.86/469,490.67 = 133,121.94/x
  3. Step 3: Cross multiply
    313,129.86x = 469,490.67 × 133,121.94
  4. Step 4: Simplify right side
    313,129.86x = 62,499,508,802.30
  5. Step 5: Solve for x
    x = 62,499,508,802.30/313,129.86
  6. Step 6: Final answer
    x = 199,596.13

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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.