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Finding the Fourth Proportional to 402,509.12, 603,872.56 and 136,269.60

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Solution

The fourth proportional to 402,509.12, 603,872.56 and 136,269.60 is: 204,441.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,509.12 : 603,872.56 = 136,269.60 : x
  2. Step 2: Convert to fraction form
    402,509.12/603,872.56 = 136,269.60/x
  3. Step 3: Cross multiply
    402,509.12x = 603,872.56 × 136,269.60
  4. Step 4: Simplify right side
    402,509.12x = 82,289,472,202.18
  5. Step 5: Solve for x
    x = 82,289,472,202.18/402,509.12
  6. Step 6: Final answer
    x = 204,441.26

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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.