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Finding the Fourth Proportional to 368,674.38, 508,762.27 and 205,329.78

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Solution

The fourth proportional to 368,674.38, 508,762.27 and 205,329.78 is: 283,350.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,674.38 : 508,762.27 = 205,329.78 : x
  2. Step 2: Convert to fraction form
    368,674.38/508,762.27 = 205,329.78/x
  3. Step 3: Cross multiply
    368,674.38x = 508,762.27 × 205,329.78
  4. Step 4: Simplify right side
    368,674.38x = 104,464,041,914.27
  5. Step 5: Solve for x
    x = 104,464,041,914.27/368,674.38
  6. Step 6: Final answer
    x = 283,350.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.