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Finding the Fourth Proportional to 510,190.32, 765,020.70 and 150,314.46

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Solution

The fourth proportional to 510,190.32, 765,020.70 and 150,314.46 is: 225,393.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,190.32 : 765,020.70 = 150,314.46 : x
  2. Step 2: Convert to fraction form
    510,190.32/765,020.70 = 150,314.46/x
  3. Step 3: Cross multiply
    510,190.32x = 765,020.70 × 150,314.46
  4. Step 4: Simplify right side
    510,190.32x = 114,993,673,409.32
  5. Step 5: Solve for x
    x = 114,993,673,409.32/510,190.32
  6. Step 6: Final answer
    x = 225,393.68

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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.