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Finding the Fourth Proportional to 271,412.34, 407,754.73 and 256,075.19

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Solution

The fourth proportional to 271,412.34, 407,754.73 and 256,075.19 is: 384,713.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,412.34 : 407,754.73 = 256,075.19 : x
  2. Step 2: Convert to fraction form
    271,412.34/407,754.73 = 256,075.19/x
  3. Step 3: Cross multiply
    271,412.34x = 407,754.73 × 256,075.19
  4. Step 4: Simplify right side
    271,412.34x = 104,415,868,677.77
  5. Step 5: Solve for x
    x = 104,415,868,677.77/271,412.34
  6. Step 6: Final answer
    x = 384,713.06

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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.