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Finding the Fourth Proportional to 397,651.52, 548,774.24 and 227,918.40

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Solution

The fourth proportional to 397,651.52, 548,774.24 and 227,918.40 is: 314,536.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,651.52 : 548,774.24 = 227,918.40 : x
  2. Step 2: Convert to fraction form
    397,651.52/548,774.24 = 227,918.40/x
  3. Step 3: Cross multiply
    397,651.52x = 548,774.24 × 227,918.40
  4. Step 4: Simplify right side
    397,651.52x = 125,075,746,742.02
  5. Step 5: Solve for x
    x = 125,075,746,742.02/397,651.52
  6. Step 6: Final answer
    x = 314,536.07

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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.