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Finding the Fourth Proportional to 413,613.40, 620,420.10 and 271,895.80

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Solution

The fourth proportional to 413,613.40, 620,420.10 and 271,895.80 is: 407,843.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,613.40 : 620,420.10 = 271,895.80 : x
  2. Step 2: Convert to fraction form
    413,613.40/620,420.10 = 271,895.80/x
  3. Step 3: Cross multiply
    413,613.40x = 620,420.10 × 271,895.80
  4. Step 4: Simplify right side
    413,613.40x = 168,689,619,425.58
  5. Step 5: Solve for x
    x = 168,689,619,425.58/413,613.40
  6. Step 6: Final answer
    x = 407,843.70

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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.