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Finding the Fourth Proportional to 398,749.95, 549,963.90 and 255,523.32

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Solution

The fourth proportional to 398,749.95, 549,963.90 and 255,523.32 is: 352,422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,749.95 : 549,963.90 = 255,523.32 : x
  2. Step 2: Convert to fraction form
    398,749.95/549,963.90 = 255,523.32/x
  3. Step 3: Cross multiply
    398,749.95x = 549,963.90 × 255,523.32
  4. Step 4: Simplify right side
    398,749.95x = 140,528,601,608.15
  5. Step 5: Solve for x
    x = 140,528,601,608.15/398,749.95
  6. Step 6: Final answer
    x = 352,422.87

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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.