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Finding the Fourth Proportional to 300,664, 451,033.08 and 98,255.32

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Solution

The fourth proportional to 300,664, 451,033.08 and 98,255.32 is: 147,395.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,664 : 451,033.08 = 98,255.32 : x
  2. Step 2: Convert to fraction form
    300,664/451,033.08 = 98,255.32/x
  3. Step 3: Cross multiply
    300,664x = 451,033.08 × 98,255.32
  4. Step 4: Simplify right side
    300,664x = 44,316,399,605.99
  5. Step 5: Solve for x
    x = 44,316,399,605.99/300,664
  6. Step 6: Final answer
    x = 147,395.10

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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.