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Finding the Fourth Proportional to 380,517.57, 525,108.50 and 208,434.16

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Solution

The fourth proportional to 380,517.57, 525,108.50 and 208,434.16 is: 287,635.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,517.57 : 525,108.50 = 208,434.16 : x
  2. Step 2: Convert to fraction form
    380,517.57/525,108.50 = 208,434.16/x
  3. Step 3: Cross multiply
    380,517.57x = 525,108.50 × 208,434.16
  4. Step 4: Simplify right side
    380,517.57x = 109,450,548,915.99
  5. Step 5: Solve for x
    x = 109,450,548,915.99/380,517.57
  6. Step 6: Final answer
    x = 287,635.99

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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.