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Finding the Fourth Proportional to 502,543.43, 693,671.54 and 321,742.31

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Solution

The fourth proportional to 502,543.43, 693,671.54 and 321,742.31 is: 444,107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,543.43 : 693,671.54 = 321,742.31 : x
  2. Step 2: Convert to fraction form
    502,543.43/693,671.54 = 321,742.31/x
  3. Step 3: Cross multiply
    502,543.43x = 693,671.54 × 321,742.31
  4. Step 4: Simplify right side
    502,543.43x = 223,183,486,199.39
  5. Step 5: Solve for x
    x = 223,183,486,199.39/502,543.43
  6. Step 6: Final answer
    x = 444,107.86

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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.