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Finding the Fourth Proportional to 286,768.68, 430,065.60 and 76,379.28

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Solution

The fourth proportional to 286,768.68, 430,065.60 and 76,379.28 is: 114,545.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,768.68 : 430,065.60 = 76,379.28 : x
  2. Step 2: Convert to fraction form
    286,768.68/430,065.60 = 76,379.28/x
  3. Step 3: Cross multiply
    286,768.68x = 430,065.60 × 76,379.28
  4. Step 4: Simplify right side
    286,768.68x = 32,848,100,880.77
  5. Step 5: Solve for x
    x = 32,848,100,880.77/286,768.68
  6. Step 6: Final answer
    x = 114,545.64

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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.