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Finding the Fourth Proportional to 510,378.12, 765,052.53 and 320,973.81

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Solution

The fourth proportional to 510,378.12, 765,052.53 and 320,973.81 is: 481,137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,378.12 : 765,052.53 = 320,973.81 : x
  2. Step 2: Convert to fraction form
    510,378.12/765,052.53 = 320,973.81/x
  3. Step 3: Cross multiply
    510,378.12x = 765,052.53 × 320,973.81
  4. Step 4: Simplify right side
    510,378.12x = 245,561,825,404.24
  5. Step 5: Solve for x
    x = 245,561,825,404.24/510,378.12
  6. Step 6: Final answer
    x = 481,137.05

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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.