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Finding the Fourth Proportional to 286,875.56, 430,302.33 and 76,511.67

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Solution

The fourth proportional to 286,875.56, 430,302.33 and 76,511.67 is: 114,764.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,875.56 : 430,302.33 = 76,511.67 : x
  2. Step 2: Convert to fraction form
    286,875.56/430,302.33 = 76,511.67/x
  3. Step 3: Cross multiply
    286,875.56x = 430,302.33 × 76,511.67
  4. Step 4: Simplify right side
    286,875.56x = 32,923,149,873.19
  5. Step 5: Solve for x
    x = 32,923,149,873.19/286,875.56
  6. Step 6: Final answer
    x = 114,764.57

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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.