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Finding the Fourth Proportional to 378,093.93, 521,768.64 and 208,328.04

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Solution

The fourth proportional to 378,093.93, 521,768.64 and 208,328.04 is: 287,492.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,093.93 : 521,768.64 = 208,328.04 : x
  2. Step 2: Convert to fraction form
    378,093.93/521,768.64 = 208,328.04/x
  3. Step 3: Cross multiply
    378,093.93x = 521,768.64 × 208,328.04
  4. Step 4: Simplify right side
    378,093.93x = 108,699,038,104.67
  5. Step 5: Solve for x
    x = 108,699,038,104.67/378,093.93
  6. Step 6: Final answer
    x = 287,492.15

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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.