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Finding the Fourth Proportional to 510,052.10, 765,120.90 and 155,069.20

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Solution

The fourth proportional to 510,052.10, 765,120.90 and 155,069.20 is: 232,616.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,052.10 : 765,120.90 = 155,069.20 : x
  2. Step 2: Convert to fraction form
    510,052.10/765,120.90 = 155,069.20/x
  3. Step 3: Cross multiply
    510,052.10x = 765,120.90 × 155,069.20
  4. Step 4: Simplify right side
    510,052.10x = 118,646,682,040.68
  5. Step 5: Solve for x
    x = 118,646,682,040.68/510,052.10
  6. Step 6: Final answer
    x = 232,616.79

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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.