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Finding the Fourth Proportional to 371,522.38, 512,713.57 and 208,185.78

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Solution

The fourth proportional to 371,522.38, 512,713.57 and 208,185.78 is: 287,303.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,522.38 : 512,713.57 = 208,185.78 : x
  2. Step 2: Convert to fraction form
    371,522.38/512,713.57 = 208,185.78/x
  3. Step 3: Cross multiply
    371,522.38x = 512,713.57 × 208,185.78
  4. Step 4: Simplify right side
    371,522.38x = 106,739,674,487.04
  5. Step 5: Solve for x
    x = 106,739,674,487.04/371,522.38
  6. Step 6: Final answer
    x = 287,303.48

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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.