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Finding the Fourth Proportional to 200,713.60, 301,070.40 and 199,331.20

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Solution

The fourth proportional to 200,713.60, 301,070.40 and 199,331.20 is: 298,996.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,713.60 : 301,070.40 = 199,331.20 : x
  2. Step 2: Convert to fraction form
    200,713.60/301,070.40 = 199,331.20/x
  3. Step 3: Cross multiply
    200,713.60x = 301,070.40 × 199,331.20
  4. Step 4: Simplify right side
    200,713.60x = 60,012,724,116.48
  5. Step 5: Solve for x
    x = 60,012,724,116.48/200,713.60
  6. Step 6: Final answer
    x = 298,996.80

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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.