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Finding the Fourth Proportional to 291,485.80, 402,066.42 and 200,684.12

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Solution

The fourth proportional to 291,485.80, 402,066.42 and 200,684.12 is: 276,817.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,485.80 : 402,066.42 = 200,684.12 : x
  2. Step 2: Convert to fraction form
    291,485.80/402,066.42 = 200,684.12/x
  3. Step 3: Cross multiply
    291,485.80x = 402,066.42 × 200,684.12
  4. Step 4: Simplify right side
    291,485.80x = 80,688,345,679.25
  5. Step 5: Solve for x
    x = 80,688,345,679.25/291,485.80
  6. Step 6: Final answer
    x = 276,817.42

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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.