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Finding the Fourth Proportional to 208,383, 310,744.24 and 206,488.40

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Solution

The fourth proportional to 208,383, 310,744.24 and 206,488.40 is: 307,918.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,383 : 310,744.24 = 206,488.40 : x
  2. Step 2: Convert to fraction form
    208,383/310,744.24 = 206,488.40/x
  3. Step 3: Cross multiply
    208,383x = 310,744.24 × 206,488.40
  4. Step 4: Simplify right side
    208,383x = 64,165,080,926.82
  5. Step 5: Solve for x
    x = 64,165,080,926.82/208,383
  6. Step 6: Final answer
    x = 307,918.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.