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Finding the Fourth Proportional to 398,682.96, 597,907.08 and 149,306.64

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Solution

The fourth proportional to 398,682.96, 597,907.08 and 149,306.64 is: 223,916.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,682.96 : 597,907.08 = 149,306.64 : x
  2. Step 2: Convert to fraction form
    398,682.96/597,907.08 = 149,306.64/x
  3. Step 3: Cross multiply
    398,682.96x = 597,907.08 × 149,306.64
  4. Step 4: Simplify right side
    398,682.96x = 89,271,497,147.01
  5. Step 5: Solve for x
    x = 89,271,497,147.01/398,682.96
  6. Step 6: Final answer
    x = 223,916.01

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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.