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Finding the Fourth Proportional to 287,180.20, 430,856.70 and 154,124.20

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Solution

The fourth proportional to 287,180.20, 430,856.70 and 154,124.20 is: 231,232.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,180.20 : 430,856.70 = 154,124.20 : x
  2. Step 2: Convert to fraction form
    287,180.20/430,856.70 = 154,124.20/x
  3. Step 3: Cross multiply
    287,180.20x = 430,856.70 × 154,124.20
  4. Step 4: Simplify right side
    287,180.20x = 66,405,444,202.14
  5. Step 5: Solve for x
    x = 66,405,444,202.14/287,180.20
  6. Step 6: Final answer
    x = 231,232.67

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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.