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Finding the Fourth Proportional to 313,770, 433,003.24 and 172,458

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Solution

The fourth proportional to 313,770, 433,003.24 and 172,458 is: 237,992.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,770 : 433,003.24 = 172,458 : x
  2. Step 2: Convert to fraction form
    313,770/433,003.24 = 172,458/x
  3. Step 3: Cross multiply
    313,770x = 433,003.24 × 172,458
  4. Step 4: Simplify right side
    313,770x = 74,674,872,763.92
  5. Step 5: Solve for x
    x = 74,674,872,763.92/313,770
  6. Step 6: Final answer
    x = 237,992.39

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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.