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Finding the Fourth Proportional to 204,985.80, 307,478.70 and 116,412.30

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Solution

The fourth proportional to 204,985.80, 307,478.70 and 116,412.30 is: 174,618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,985.80 : 307,478.70 = 116,412.30 : x
  2. Step 2: Convert to fraction form
    204,985.80/307,478.70 = 116,412.30/x
  3. Step 3: Cross multiply
    204,985.80x = 307,478.70 × 116,412.30
  4. Step 4: Simplify right side
    204,985.80x = 35,794,302,668.01
  5. Step 5: Solve for x
    x = 35,794,302,668.01/204,985.80
  6. Step 6: Final answer
    x = 174,618.45

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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.