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Finding the Fourth Proportional to 413,531.80, 620,297.70 and 380,872.60

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Solution

The fourth proportional to 413,531.80, 620,297.70 and 380,872.60 is: 571,308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,531.80 : 620,297.70 = 380,872.60 : x
  2. Step 2: Convert to fraction form
    413,531.80/620,297.70 = 380,872.60/x
  3. Step 3: Cross multiply
    413,531.80x = 620,297.70 × 380,872.60
  4. Step 4: Simplify right side
    413,531.80x = 236,254,397,773.02
  5. Step 5: Solve for x
    x = 236,254,397,773.02/413,531.80
  6. Step 6: Final answer
    x = 571,308.90

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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.