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Finding the Fourth Proportional to 605,908.37, 909,070.17 and 206,829.39

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Solution

The fourth proportional to 605,908.37, 909,070.17 and 206,829.39 is: 310,314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,908.37 : 909,070.17 = 206,829.39 : x
  2. Step 2: Convert to fraction form
    605,908.37/909,070.17 = 206,829.39/x
  3. Step 3: Cross multiply
    605,908.37x = 909,070.17 × 206,829.39
  4. Step 4: Simplify right side
    605,908.37x = 188,022,429,463.29
  5. Step 5: Solve for x
    x = 188,022,429,463.29/605,908.37
  6. Step 6: Final answer
    x = 310,314.96

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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.