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Finding the Fourth Proportional to 397,157.82, 548,075.08 and 227,424.76

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Solution

The fourth proportional to 397,157.82, 548,075.08 and 227,424.76 is: 313,844.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,157.82 : 548,075.08 = 227,424.76 : x
  2. Step 2: Convert to fraction form
    397,157.82/548,075.08 = 227,424.76/x
  3. Step 3: Cross multiply
    397,157.82x = 548,075.08 × 227,424.76
  4. Step 4: Simplify right side
    397,157.82x = 124,645,843,530.98
  5. Step 5: Solve for x
    x = 124,645,843,530.98/397,157.82
  6. Step 6: Final answer
    x = 313,844.62

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1.5x scale

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.