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Finding the Fourth Proportional to 414,526, 621,805.20 and 130,410.40

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Solution

The fourth proportional to 414,526, 621,805.20 and 130,410.40 is: 195,620.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,526 : 621,805.20 = 130,410.40 : x
  2. Step 2: Convert to fraction form
    414,526/621,805.20 = 130,410.40/x
  3. Step 3: Cross multiply
    414,526x = 621,805.20 × 130,410.40
  4. Step 4: Simplify right side
    414,526x = 81,089,864,854.08
  5. Step 5: Solve for x
    x = 81,089,864,854.08/414,526
  6. Step 6: Final answer
    x = 195,620.70

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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.