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Finding the Fourth Proportional to 397,900.76, 549,158.62 and 254,965.32

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Solution

The fourth proportional to 397,900.76, 549,158.62 and 254,965.32 is: 351,887.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,900.76 : 549,158.62 = 254,965.32 : x
  2. Step 2: Convert to fraction form
    397,900.76/549,158.62 = 254,965.32/x
  3. Step 3: Cross multiply
    397,900.76x = 549,158.62 × 254,965.32
  4. Step 4: Simplify right side
    397,900.76x = 140,016,403,279.06
  5. Step 5: Solve for x
    x = 140,016,403,279.06/397,900.76
  6. Step 6: Final answer
    x = 351,887.75

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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.