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Finding the Fourth Proportional to 400,250.25, 600,611.10 and 147,708.45

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Solution

The fourth proportional to 400,250.25, 600,611.10 and 147,708.45 is: 221,649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,250.25 : 600,611.10 = 147,708.45 : x
  2. Step 2: Convert to fraction form
    400,250.25/600,611.10 = 147,708.45/x
  3. Step 3: Cross multiply
    400,250.25x = 600,611.10 × 147,708.45
  4. Step 4: Simplify right side
    400,250.25x = 88,715,334,633.80
  5. Step 5: Solve for x
    x = 88,715,334,633.80/400,250.25
  6. Step 6: Final answer
    x = 221,649.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.