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Finding the Fourth Proportional to 414,008.80, 620,138.40 and 414,008.80

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Solution

The fourth proportional to 414,008.80, 620,138.40 and 414,008.80 is: 620,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,008.80 : 620,138.40 = 414,008.80 : x
  2. Step 2: Convert to fraction form
    414,008.80/620,138.40 = 414,008.80/x
  3. Step 3: Cross multiply
    414,008.80x = 620,138.40 × 414,008.80
  4. Step 4: Simplify right side
    414,008.80x = 256,742,754,817.92
  5. Step 5: Solve for x
    x = 256,742,754,817.92/414,008.80
  6. Step 6: Final answer
    x = 620,138.40

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1.5x scale

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.