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Finding the Fourth Proportional to 401,307.75, 601,896 and 120,759.39

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Solution

The fourth proportional to 401,307.75, 601,896 and 120,759.39 is: 181,119.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,307.75 : 601,896 = 120,759.39 : x
  2. Step 2: Convert to fraction form
    401,307.75/601,896 = 120,759.39/x
  3. Step 3: Cross multiply
    401,307.75x = 601,896 × 120,759.39
  4. Step 4: Simplify right side
    401,307.75x = 72,684,593,803.44
  5. Step 5: Solve for x
    x = 72,684,593,803.44/401,307.75
  6. Step 6: Final answer
    x = 181,119.34

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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.