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Finding the Fourth Proportional to 370,144.50, 510,801.06 and 200,378.62

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Solution

The fourth proportional to 370,144.50, 510,801.06 and 200,378.62 is: 276,523.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,144.50 : 510,801.06 = 200,378.62 : x
  2. Step 2: Convert to fraction form
    370,144.50/510,801.06 = 200,378.62/x
  3. Step 3: Cross multiply
    370,144.50x = 510,801.06 × 200,378.62
  4. Step 4: Simplify right side
    370,144.50x = 102,353,611,497.34
  5. Step 5: Solve for x
    x = 102,353,611,497.34/370,144.50
  6. Step 6: Final answer
    x = 276,523.39

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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.