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Finding the Fourth Proportional to 368,813.57, 508,909.77 and 205,468.97

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Solution

The fourth proportional to 368,813.57, 508,909.77 and 205,468.97 is: 283,517.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,813.57 : 508,909.77 = 205,468.97 : x
  2. Step 2: Convert to fraction form
    368,813.57/508,909.77 = 205,468.97/x
  3. Step 3: Cross multiply
    368,813.57x = 508,909.77 × 205,468.97
  4. Step 4: Simplify right side
    368,813.57x = 104,565,163,720.29
  5. Step 5: Solve for x
    x = 104,565,163,720.29/368,813.57
  6. Step 6: Final answer
    x = 283,517.67

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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.