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Finding the Fourth Proportional to 684,858, 945,107.28 and 383,052

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Solution

The fourth proportional to 684,858, 945,107.28 and 383,052 is: 528,613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,858 : 945,107.28 = 383,052 : x
  2. Step 2: Convert to fraction form
    684,858/945,107.28 = 383,052/x
  3. Step 3: Cross multiply
    684,858x = 945,107.28 × 383,052
  4. Step 4: Simplify right side
    684,858x = 362,025,233,818.56
  5. Step 5: Solve for x
    x = 362,025,233,818.56/684,858
  6. Step 6: Final answer
    x = 528,613.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.