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Finding the Fourth Proportional to 357,267, 493,015.70 and 202,214.96

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Solution

The fourth proportional to 357,267, 493,015.70 and 202,214.96 is: 279,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,267 : 493,015.70 = 202,214.96 : x
  2. Step 2: Convert to fraction form
    357,267/493,015.70 = 202,214.96/x
  3. Step 3: Cross multiply
    357,267x = 493,015.70 × 202,214.96
  4. Step 4: Simplify right side
    357,267x = 99,695,150,054.87
  5. Step 5: Solve for x
    x = 99,695,150,054.87/357,267
  6. Step 6: Final answer
    x = 279,049.42

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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.