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Finding the Fourth Proportional to 512,075.08, 706,790.10 and 311,039.56

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Solution

The fourth proportional to 512,075.08, 706,790.10 and 311,039.56 is: 429,311.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,075.08 : 706,790.10 = 311,039.56 : x
  2. Step 2: Convert to fraction form
    512,075.08/706,790.10 = 311,039.56/x
  3. Step 3: Cross multiply
    512,075.08x = 706,790.10 × 311,039.56
  4. Step 4: Simplify right side
    512,075.08x = 219,839,681,716.36
  5. Step 5: Solve for x
    x = 219,839,681,716.36/512,075.08
  6. Step 6: Final answer
    x = 429,311.42

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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.