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Finding the Fourth Proportional to 398,508.44, 549,630.54 and 255,281.80

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Solution

The fourth proportional to 398,508.44, 549,630.54 and 255,281.80 is: 352,089.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,508.44 : 549,630.54 = 255,281.80 : x
  2. Step 2: Convert to fraction form
    398,508.44/549,630.54 = 255,281.80/x
  3. Step 3: Cross multiply
    398,508.44x = 549,630.54 × 255,281.80
  4. Step 4: Simplify right side
    398,508.44x = 140,310,673,586.17
  5. Step 5: Solve for x
    x = 140,310,673,586.17/398,508.44
  6. Step 6: Final answer
    x = 352,089.59

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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.