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Finding the Fourth Proportional to 413,998.85, 620,998.27 and 133,516.10

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Solution

The fourth proportional to 413,998.85, 620,998.27 and 133,516.10 is: 200,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,998.85 : 620,998.27 = 133,516.10 : x
  2. Step 2: Convert to fraction form
    413,998.85/620,998.27 = 133,516.10/x
  3. Step 3: Cross multiply
    413,998.85x = 620,998.27 × 133,516.10
  4. Step 4: Simplify right side
    413,998.85x = 82,913,267,117.15
  5. Step 5: Solve for x
    x = 82,913,267,117.15/413,998.85
  6. Step 6: Final answer
    x = 200,274.15

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1.5x scale

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.