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Finding the Fourth Proportional to 398,586.78, 549,738.72 and 255,360.15

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Solution

The fourth proportional to 398,586.78, 549,738.72 and 255,360.15 is: 352,197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,586.78 : 549,738.72 = 255,360.15 : x
  2. Step 2: Convert to fraction form
    398,586.78/549,738.72 = 255,360.15/x
  3. Step 3: Cross multiply
    398,586.78x = 549,738.72 × 255,360.15
  4. Step 4: Simplify right side
    398,586.78x = 140,381,362,000.01
  5. Step 5: Solve for x
    x = 140,381,362,000.01/398,586.78
  6. Step 6: Final answer
    x = 352,197.74

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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.