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Finding the Fourth Proportional to 502,544.19, 693,672.60 and 321,743.07

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Solution

The fourth proportional to 502,544.19, 693,672.60 and 321,743.07 is: 444,108.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,544.19 : 693,672.60 = 321,743.07 : x
  2. Step 2: Convert to fraction form
    502,544.19/693,672.60 = 321,743.07/x
  3. Step 3: Cross multiply
    502,544.19x = 693,672.60 × 321,743.07
  4. Step 4: Simplify right side
    502,544.19x = 223,184,351,898.88
  5. Step 5: Solve for x
    x = 223,184,351,898.88/502,544.19
  6. Step 6: Final answer
    x = 444,108.91

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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.