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Finding the Fourth Proportional to 274,153,619.20, 411,902,275.20 and 206,129,171.20

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Solution

The fourth proportional to 274,153,619.20, 411,902,275.20 and 206,129,171.20 is: 309,698,901.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,153,619.20 : 411,902,275.20 = 206,129,171.20 : x
  2. Step 2: Convert to fraction form
    274,153,619.20/411,902,275.20 = 206,129,171.20/x
  3. Step 3: Cross multiply
    274,153,619.20x = 411,902,275.20 × 206,129,171.20
  4. Step 4: Simplify right side
    274,153,619.20x = 84,905,074,602,370,304
  5. Step 5: Solve for x
    x = 84,905,074,602,370,304/274,153,619.20
  6. Step 6: Final answer
    x = 309,698,901.11

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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.