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Finding the Fourth Proportional to 208,298.78, 310,619.13 and 206,404.29

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Solution

The fourth proportional to 208,298.78, 310,619.13 and 206,404.29 is: 307,794.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,298.78 : 310,619.13 = 206,404.29 : x
  2. Step 2: Convert to fraction form
    208,298.78/310,619.13 = 206,404.29/x
  3. Step 3: Cross multiply
    208,298.78x = 310,619.13 × 206,404.29
  4. Step 4: Simplify right side
    208,298.78x = 64,113,120,988.07
  5. Step 5: Solve for x
    x = 64,113,120,988.07/208,298.78
  6. Step 6: Final answer
    x = 307,794.03

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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.