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Finding the Fourth Proportional to 343,811.60, 515,936.10 and 201,656.60

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Solution

The fourth proportional to 343,811.60, 515,936.10 and 201,656.60 is: 302,613.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,811.60 : 515,936.10 = 201,656.60 : x
  2. Step 2: Convert to fraction form
    343,811.60/515,936.10 = 201,656.60/x
  3. Step 3: Cross multiply
    343,811.60x = 515,936.10 × 201,656.60
  4. Step 4: Simplify right side
    343,811.60x = 104,041,919,743.26
  5. Step 5: Solve for x
    x = 104,041,919,743.26/343,811.60
  6. Step 6: Final answer
    x = 302,613.17

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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.