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Finding the Fourth Proportional to 313,495.19, 432,802.70 and 206,376.61

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Solution

The fourth proportional to 313,495.19, 432,802.70 and 206,376.61 is: 284,917.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,495.19 : 432,802.70 = 206,376.61 : x
  2. Step 2: Convert to fraction form
    313,495.19/432,802.70 = 206,376.61/x
  3. Step 3: Cross multiply
    313,495.19x = 432,802.70 × 206,376.61
  4. Step 4: Simplify right side
    313,495.19x = 89,320,354,024.85
  5. Step 5: Solve for x
    x = 89,320,354,024.85/313,495.19
  6. Step 6: Final answer
    x = 284,917.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.