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Finding the Fourth Proportional to 656,866, 985,441.92 and 201,457.48

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Solution

The fourth proportional to 656,866, 985,441.92 and 201,457.48 is: 302,230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,866 : 985,441.92 = 201,457.48 : x
  2. Step 2: Convert to fraction form
    656,866/985,441.92 = 201,457.48/x
  3. Step 3: Cross multiply
    656,866x = 985,441.92 × 201,457.48
  4. Step 4: Simplify right side
    656,866x = 198,524,645,889.56
  5. Step 5: Solve for x
    x = 198,524,645,889.56/656,866
  6. Step 6: Final answer
    x = 302,230.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.