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Finding the Fourth Proportional to 361,442.70, 498,793.86 and 200,300.40

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Solution

The fourth proportional to 361,442.70, 498,793.86 and 200,300.40 is: 276,416.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,442.70 : 498,793.86 = 200,300.40 : x
  2. Step 2: Convert to fraction form
    361,442.70/498,793.86 = 200,300.40/x
  3. Step 3: Cross multiply
    361,442.70x = 498,793.86 × 200,300.40
  4. Step 4: Simplify right side
    361,442.70x = 99,908,609,675.54
  5. Step 5: Solve for x
    x = 99,908,609,675.54/361,442.70
  6. Step 6: Final answer
    x = 276,416.18

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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.