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Finding the Fourth Proportional to 510,143.05, 765,189.36 and 190,270.00

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Solution

The fourth proportional to 510,143.05, 765,189.36 and 190,270.00 is: 285,395.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,143.05 : 765,189.36 = 190,270.00 : x
  2. Step 2: Convert to fraction form
    510,143.05/765,189.36 = 190,270.00/x
  3. Step 3: Cross multiply
    510,143.05x = 765,189.36 × 190,270.00
  4. Step 4: Simplify right side
    510,143.05x = 145,592,578,568.25
  5. Step 5: Solve for x
    x = 145,592,578,568.25/510,143.05
  6. Step 6: Final answer
    x = 285,395.59

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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.