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Finding the Fourth Proportional to 301,490.40, 452,245.76 and 151,649

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Solution

The fourth proportional to 301,490.40, 452,245.76 and 151,649 is: 227,478.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,490.40 : 452,245.76 = 151,649 : x
  2. Step 2: Convert to fraction form
    301,490.40/452,245.76 = 151,649/x
  3. Step 3: Cross multiply
    301,490.40x = 452,245.76 × 151,649
  4. Step 4: Simplify right side
    301,490.40x = 68,582,617,258.24
  5. Step 5: Solve for x
    x = 68,582,617,258.24/301,490.40
  6. Step 6: Final answer
    x = 227,478.61

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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.