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Finding the Fourth Proportional to 515,183.40, 710,971.56 and 300,288.78

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Solution

The fourth proportional to 515,183.40, 710,971.56 and 300,288.78 is: 414,409.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,183.40 : 710,971.56 = 300,288.78 : x
  2. Step 2: Convert to fraction form
    515,183.40/710,971.56 = 300,288.78/x
  3. Step 3: Cross multiply
    515,183.40x = 710,971.56 × 300,288.78
  4. Step 4: Simplify right side
    515,183.40x = 213,496,782,367.10
  5. Step 5: Solve for x
    x = 213,496,782,367.10/515,183.40
  6. Step 6: Final answer
    x = 414,409.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.