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Finding the Fourth Proportional to 380,539.67, 525,138.11 and 208,461.05

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Solution

The fourth proportional to 380,539.67, 525,138.11 and 208,461.05 is: 287,672.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,539.67 : 525,138.11 = 208,461.05 : x
  2. Step 2: Convert to fraction form
    380,539.67/525,138.11 = 208,461.05/x
  3. Step 3: Cross multiply
    380,539.67x = 525,138.11 × 208,461.05
  4. Step 4: Simplify right side
    380,539.67x = 109,470,838,137.62
  5. Step 5: Solve for x
    x = 109,470,838,137.62/380,539.67
  6. Step 6: Final answer
    x = 287,672.61

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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.