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Finding the Fourth Proportional to 500,112, 750,168 and 149,904

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Solution

The fourth proportional to 500,112, 750,168 and 149,904 is: 224,856

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,112 : 750,168 = 149,904 : x
  2. Step 2: Convert to fraction form
    500,112/750,168 = 149,904/x
  3. Step 3: Cross multiply
    500,112x = 750,168 × 149,904
  4. Step 4: Simplify right side
    500,112x = 112,453,183,872
  5. Step 5: Solve for x
    x = 112,453,183,872/500,112
  6. Step 6: Final answer
    x = 224,856

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.