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Finding the Fourth Proportional to 398,674.29, 598,025.55 and 99,156.44

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Solution

The fourth proportional to 398,674.29, 598,025.55 and 99,156.44 is: 148,738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,674.29 : 598,025.55 = 99,156.44 : x
  2. Step 2: Convert to fraction form
    398,674.29/598,025.55 = 99,156.44/x
  3. Step 3: Cross multiply
    398,674.29x = 598,025.55 × 99,156.44
  4. Step 4: Simplify right side
    398,674.29x = 59,298,081,576.91
  5. Step 5: Solve for x
    x = 59,298,081,576.91/398,674.29
  6. Step 6: Final answer
    x = 148,738.16

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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.