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Finding the Fourth Proportional to 510,030.75, 765,041.57 and 190,171.74

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Solution

The fourth proportional to 510,030.75, 765,041.57 and 190,171.74 is: 285,255.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,030.75 : 765,041.57 = 190,171.74 : x
  2. Step 2: Convert to fraction form
    510,030.75/765,041.57 = 190,171.74/x
  3. Step 3: Cross multiply
    510,030.75x = 765,041.57 × 190,171.74
  4. Step 4: Simplify right side
    510,030.75x = 145,489,285,588.37
  5. Step 5: Solve for x
    x = 145,489,285,588.37/510,030.75
  6. Step 6: Final answer
    x = 285,255.91

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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.