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Finding the Fourth Proportional to 398,749.48, 549,963.27 and 255,522.85

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Solution

The fourth proportional to 398,749.48, 549,963.27 and 255,522.85 is: 352,422.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,749.48 : 549,963.27 = 255,522.85 : x
  2. Step 2: Convert to fraction form
    398,749.48/549,963.27 = 255,522.85/x
  3. Step 3: Cross multiply
    398,749.48x = 549,963.27 × 255,522.85
  4. Step 4: Simplify right side
    398,749.48x = 140,528,183,864.36
  5. Step 5: Solve for x
    x = 140,528,183,864.36/398,749.48
  6. Step 6: Final answer
    x = 352,422.23

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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.