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Finding the Fourth Proportional to 307,148.40, 460,722.60 and 280,576.35

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Solution

The fourth proportional to 307,148.40, 460,722.60 and 280,576.35 is: 420,864.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,148.40 : 460,722.60 = 280,576.35 : x
  2. Step 2: Convert to fraction form
    307,148.40/460,722.60 = 280,576.35/x
  3. Step 3: Cross multiply
    307,148.40x = 460,722.60 × 280,576.35
  4. Step 4: Simplify right side
    307,148.40x = 129,267,865,470.51
  5. Step 5: Solve for x
    x = 129,267,865,470.51/307,148.40
  6. Step 6: Final answer
    x = 420,864.53

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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.