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Finding the Fourth Proportional to 206,583.60, 310,312.80 and 199,147.80

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Solution

The fourth proportional to 206,583.60, 310,312.80 and 199,147.80 is: 299,143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,583.60 : 310,312.80 = 199,147.80 : x
  2. Step 2: Convert to fraction form
    206,583.60/310,312.80 = 199,147.80/x
  3. Step 3: Cross multiply
    206,583.60x = 310,312.80 × 199,147.80
  4. Step 4: Simplify right side
    206,583.60x = 61,798,111,431.84
  5. Step 5: Solve for x
    x = 61,798,111,431.84/206,583.60
  6. Step 6: Final answer
    x = 299,143.36

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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.