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Finding the Fourth Proportional to 265,408.94, 398,240.88 and 165,543.50

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Solution

The fourth proportional to 265,408.94, 398,240.88 and 165,543.50 is: 248,394.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,408.94 : 398,240.88 = 165,543.50 : x
  2. Step 2: Convert to fraction form
    265,408.94/398,240.88 = 165,543.50/x
  3. Step 3: Cross multiply
    265,408.94x = 398,240.88 × 165,543.50
  4. Step 4: Simplify right side
    265,408.94x = 65,926,189,118.28
  5. Step 5: Solve for x
    x = 65,926,189,118.28/265,408.94
  6. Step 6: Final answer
    x = 248,394.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.