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Finding the Fourth Proportional to 498,212, 687,843.60 and 319,675.04

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Solution

The fourth proportional to 498,212, 687,843.60 and 319,675.04 is: 441,351.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,212 : 687,843.60 = 319,675.04 : x
  2. Step 2: Convert to fraction form
    498,212/687,843.60 = 319,675.04/x
  3. Step 3: Cross multiply
    498,212x = 687,843.60 × 319,675.04
  4. Step 4: Simplify right side
    498,212x = 219,886,430,343.74
  5. Step 5: Solve for x
    x = 219,886,430,343.74/498,212
  6. Step 6: Final answer
    x = 441,351.13

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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.