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Finding the Fourth Proportional to 298,124.78, 411,374.83 and 201,538.76

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Solution

The fourth proportional to 298,124.78, 411,374.83 and 201,538.76 is: 278,098.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,124.78 : 411,374.83 = 201,538.76 : x
  2. Step 2: Convert to fraction form
    298,124.78/411,374.83 = 201,538.76/x
  3. Step 3: Cross multiply
    298,124.78x = 411,374.83 × 201,538.76
  4. Step 4: Simplify right side
    298,124.78x = 82,907,973,133.41
  5. Step 5: Solve for x
    x = 82,907,973,133.41/298,124.78
  6. Step 6: Final answer
    x = 278,098.23

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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.