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Finding the Fourth Proportional to 298,311.54, 411,822.27 and 230,175.42

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Solution

The fourth proportional to 298,311.54, 411,822.27 and 230,175.42 is: 317,759.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,311.54 : 411,822.27 = 230,175.42 : x
  2. Step 2: Convert to fraction form
    298,311.54/411,822.27 = 230,175.42/x
  3. Step 3: Cross multiply
    298,311.54x = 411,822.27 × 230,175.42
  4. Step 4: Simplify right side
    298,311.54x = 94,791,363,962.60
  5. Step 5: Solve for x
    x = 94,791,363,962.60/298,311.54
  6. Step 6: Final answer
    x = 317,759.63

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1.5x scale

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.