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Finding the Fourth Proportional to 507,985.74, 701,028.22 and 278,563.97

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Solution

The fourth proportional to 507,985.74, 701,028.22 and 278,563.97 is: 384,422.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,985.74 : 701,028.22 = 278,563.97 : x
  2. Step 2: Convert to fraction form
    507,985.74/701,028.22 = 278,563.97/x
  3. Step 3: Cross multiply
    507,985.74x = 701,028.22 × 278,563.97
  4. Step 4: Simplify right side
    507,985.74x = 195,281,205,101.39
  5. Step 5: Solve for x
    x = 195,281,205,101.39/507,985.74
  6. Step 6: Final answer
    x = 384,422.61

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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.