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Finding the Fourth Proportional to 370,146.85, 510,802.81 and 200,380.97

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Solution

The fourth proportional to 370,146.85, 510,802.81 and 200,380.97 is: 276,525.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,146.85 : 510,802.81 = 200,380.97 : x
  2. Step 2: Convert to fraction form
    370,146.85/510,802.81 = 200,380.97/x
  3. Step 3: Cross multiply
    370,146.85x = 510,802.81 × 200,380.97
  4. Step 4: Simplify right side
    370,146.85x = 102,355,163,322.58
  5. Step 5: Solve for x
    x = 102,355,163,322.58/370,146.85
  6. Step 6: Final answer
    x = 276,525.83

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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.