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Finding the Fourth Proportional to 397,460.40, 596,190.60 and 353,914.80

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Solution

The fourth proportional to 397,460.40, 596,190.60 and 353,914.80 is: 530,872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,460.40 : 596,190.60 = 353,914.80 : x
  2. Step 2: Convert to fraction form
    397,460.40/596,190.60 = 353,914.80/x
  3. Step 3: Cross multiply
    397,460.40x = 596,190.60 × 353,914.80
  4. Step 4: Simplify right side
    397,460.40x = 211,000,676,960.88
  5. Step 5: Solve for x
    x = 211,000,676,960.88/397,460.40
  6. Step 6: Final answer
    x = 530,872.20

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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.