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Finding the Fourth Proportional to 312,029.40, 468,044.10 and 280,536.60

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Solution

The fourth proportional to 312,029.40, 468,044.10 and 280,536.60 is: 420,804.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,029.40 : 468,044.10 = 280,536.60 : x
  2. Step 2: Convert to fraction form
    312,029.40/468,044.10 = 280,536.60/x
  3. Step 3: Cross multiply
    312,029.40x = 468,044.10 × 280,536.60
  4. Step 4: Simplify right side
    312,029.40x = 131,303,500,464.06
  5. Step 5: Solve for x
    x = 131,303,500,464.06/312,029.40
  6. Step 6: Final answer
    x = 420,804.90

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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.