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Finding the Fourth Proportional to 380,732.83, 525,411.87 and 208,623.44

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Solution

The fourth proportional to 380,732.83, 525,411.87 and 208,623.44 is: 287,900.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,732.83 : 525,411.87 = 208,623.44 : x
  2. Step 2: Convert to fraction form
    380,732.83/525,411.87 = 208,623.44/x
  3. Step 3: Cross multiply
    380,732.83x = 525,411.87 × 208,623.44
  4. Step 4: Simplify right side
    380,732.83x = 109,613,231,736.23
  5. Step 5: Solve for x
    x = 109,613,231,736.23/380,732.83
  6. Step 6: Final answer
    x = 287,900.66

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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.