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Finding the Fourth Proportional to 437,816.40, 656,724.60 and 280,352.40

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Solution

The fourth proportional to 437,816.40, 656,724.60 and 280,352.40 is: 420,528.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,816.40 : 656,724.60 = 280,352.40 : x
  2. Step 2: Convert to fraction form
    437,816.40/656,724.60 = 280,352.40/x
  3. Step 3: Cross multiply
    437,816.40x = 656,724.60 × 280,352.40
  4. Step 4: Simplify right side
    437,816.40x = 184,114,317,749.04
  5. Step 5: Solve for x
    x = 184,114,317,749.04/437,816.40
  6. Step 6: Final answer
    x = 420,528.60

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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.