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Finding the Fourth Proportional to 399,855.40, 598,811.10 and 212,453.80

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Solution

The fourth proportional to 399,855.40, 598,811.10 and 212,453.80 is: 318,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,855.40 : 598,811.10 = 212,453.80 : x
  2. Step 2: Convert to fraction form
    399,855.40/598,811.10 = 212,453.80/x
  3. Step 3: Cross multiply
    399,855.40x = 598,811.10 × 212,453.80
  4. Step 4: Simplify right side
    399,855.40x = 127,219,693,677.18
  5. Step 5: Solve for x
    x = 127,219,693,677.18/399,855.40
  6. Step 6: Final answer
    x = 318,164.25

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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.