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Finding the Fourth Proportional to 403,722.51, 605,583.87 and 276,978.57

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Solution

The fourth proportional to 403,722.51, 605,583.87 and 276,978.57 is: 415,467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,722.51 : 605,583.87 = 276,978.57 : x
  2. Step 2: Convert to fraction form
    403,722.51/605,583.87 = 276,978.57/x
  3. Step 3: Cross multiply
    403,722.51x = 605,583.87 × 276,978.57
  4. Step 4: Simplify right side
    403,722.51x = 167,733,754,327.67
  5. Step 5: Solve for x
    x = 167,733,754,327.67/403,722.51
  6. Step 6: Final answer
    x = 415,467.93

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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.