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Finding the Fourth Proportional to 299,712.83, 449,558.87 and 75,075.20

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Solution

The fourth proportional to 299,712.83, 449,558.87 and 75,075.20 is: 112,610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,712.83 : 449,558.87 = 75,075.20 : x
  2. Step 2: Convert to fraction form
    299,712.83/449,558.87 = 75,075.20/x
  3. Step 3: Cross multiply
    299,712.83x = 449,558.87 × 75,075.20
  4. Step 4: Simplify right side
    299,712.83x = 33,750,721,140.81
  5. Step 5: Solve for x
    x = 33,750,721,140.81/299,712.83
  6. Step 6: Final answer
    x = 112,610.20

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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.