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Finding the Fourth Proportional to 383,715.64, 575,626.02 and 130,928.32

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Solution

The fourth proportional to 383,715.64, 575,626.02 and 130,928.32 is: 196,410.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,715.64 : 575,626.02 = 130,928.32 : x
  2. Step 2: Convert to fraction form
    383,715.64/575,626.02 = 130,928.32/x
  3. Step 3: Cross multiply
    383,715.64x = 575,626.02 × 130,928.32
  4. Step 4: Simplify right side
    383,715.64x = 75,365,747,746.89
  5. Step 5: Solve for x
    x = 75,365,747,746.89/383,715.64
  6. Step 6: Final answer
    x = 196,410.41

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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.