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Finding the Fourth Proportional to 414,810.40, 621,524.40 and 389,927.20

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Solution

The fourth proportional to 414,810.40, 621,524.40 and 389,927.20 is: 584,241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,810.40 : 621,524.40 = 389,927.20 : x
  2. Step 2: Convert to fraction form
    414,810.40/621,524.40 = 389,927.20/x
  3. Step 3: Cross multiply
    414,810.40x = 621,524.40 × 389,927.20
  4. Step 4: Simplify right side
    414,810.40x = 242,349,269,023.68
  5. Step 5: Solve for x
    x = 242,349,269,023.68/414,810.40
  6. Step 6: Final answer
    x = 584,241.06

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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.