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Finding the Fourth Proportional to 397,860.14, 549,054 and 216,577.28

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Solution

The fourth proportional to 397,860.14, 549,054 and 216,577.28 is: 298,880.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,860.14 : 549,054 = 216,577.28 : x
  2. Step 2: Convert to fraction form
    397,860.14/549,054 = 216,577.28/x
  3. Step 3: Cross multiply
    397,860.14x = 549,054 × 216,577.28
  4. Step 4: Simplify right side
    397,860.14x = 118,912,621,893.12
  5. Step 5: Solve for x
    x = 118,912,621,893.12/397,860.14
  6. Step 6: Final answer
    x = 298,880.46

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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.