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Finding the Fourth Proportional to 307,149.40, 460,724.10 and 280,577.35

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Solution

The fourth proportional to 307,149.40, 460,724.10 and 280,577.35 is: 420,866.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,149.40 : 460,724.10 = 280,577.35 : x
  2. Step 2: Convert to fraction form
    307,149.40/460,724.10 = 280,577.35/x
  3. Step 3: Cross multiply
    307,149.40x = 460,724.10 × 280,577.35
  4. Step 4: Simplify right side
    307,149.40x = 129,268,747,059.14
  5. Step 5: Solve for x
    x = 129,268,747,059.14/307,149.40
  6. Step 6: Final answer
    x = 420,866.03

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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.