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Finding the Fourth Proportional to 380,592.56, 525,195.15 and 208,476.12

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Solution

The fourth proportional to 380,592.56, 525,195.15 and 208,476.12 is: 287,684.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,592.56 : 525,195.15 = 208,476.12 : x
  2. Step 2: Convert to fraction form
    380,592.56/525,195.15 = 208,476.12/x
  3. Step 3: Cross multiply
    380,592.56x = 525,195.15 × 208,476.12
  4. Step 4: Simplify right side
    380,592.56x = 109,490,647,114.82
  5. Step 5: Solve for x
    x = 109,490,647,114.82/380,592.56
  6. Step 6: Final answer
    x = 287,684.68

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1.5x scale

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.