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Finding the Fourth Proportional to 208,304.10, 311,666.40 and 138,320.10

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Solution

The fourth proportional to 208,304.10, 311,666.40 and 138,320.10 is: 206,955.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,304.10 : 311,666.40 = 138,320.10 : x
  2. Step 2: Convert to fraction form
    208,304.10/311,666.40 = 138,320.10/x
  3. Step 3: Cross multiply
    208,304.10x = 311,666.40 × 138,320.10
  4. Step 4: Simplify right side
    208,304.10x = 43,109,727,614.64
  5. Step 5: Solve for x
    x = 43,109,727,614.64/208,304.10
  6. Step 6: Final answer
    x = 206,955.73

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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.