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Finding the Fourth Proportional to 274,075.68, 378,287.64 and 178,415.76

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Solution

The fourth proportional to 274,075.68, 378,287.64 and 178,415.76 is: 246,254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,075.68 : 378,287.64 = 178,415.76 : x
  2. Step 2: Convert to fraction form
    274,075.68/378,287.64 = 178,415.76/x
  3. Step 3: Cross multiply
    274,075.68x = 378,287.64 × 178,415.76
  4. Step 4: Simplify right side
    274,075.68x = 67,492,476,789.21
  5. Step 5: Solve for x
    x = 67,492,476,789.21/274,075.68
  6. Step 6: Final answer
    x = 246,254.89

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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.