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Finding the Fourth Proportional to 490,837.14, 736,020 and 291,183.48

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Solution

The fourth proportional to 490,837.14, 736,020 and 291,183.48 is: 436,635.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,837.14 : 736,020 = 291,183.48 : x
  2. Step 2: Convert to fraction form
    490,837.14/736,020 = 291,183.48/x
  3. Step 3: Cross multiply
    490,837.14x = 736,020 × 291,183.48
  4. Step 4: Simplify right side
    490,837.14x = 214,316,864,949.60
  5. Step 5: Solve for x
    x = 214,316,864,949.60/490,837.14
  6. Step 6: Final answer
    x = 436,635.39

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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.