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Finding the Fourth Proportional to 414,541.20, 620,890.20 and 359,245.20

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Solution

The fourth proportional to 414,541.20, 620,890.20 and 359,245.20 is: 538,069.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,541.20 : 620,890.20 = 359,245.20 : x
  2. Step 2: Convert to fraction form
    414,541.20/620,890.20 = 359,245.20/x
  3. Step 3: Cross multiply
    414,541.20x = 620,890.20 × 359,245.20
  4. Step 4: Simplify right side
    414,541.20x = 223,051,824,077.04
  5. Step 5: Solve for x
    x = 223,051,824,077.04/414,541.20
  6. Step 6: Final answer
    x = 538,069.13

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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.