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Finding the Fourth Proportional to 397,907.64, 549,107.10 and 216,621.14

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Solution

The fourth proportional to 397,907.64, 549,107.10 and 216,621.14 is: 298,934.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,907.64 : 549,107.10 = 216,621.14 : x
  2. Step 2: Convert to fraction form
    397,907.64/549,107.10 = 216,621.14/x
  3. Step 3: Cross multiply
    397,907.64x = 549,107.10 × 216,621.14
  4. Step 4: Simplify right side
    397,907.64x = 118,948,203,238.56
  5. Step 5: Solve for x
    x = 118,948,203,238.56/397,907.64
  6. Step 6: Final answer
    x = 298,934.20

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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.