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Finding the Fourth Proportional to 510,839.19, 765,077.81 and 493,124.49

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Solution

The fourth proportional to 510,839.19, 765,077.81 and 493,124.49 is: 738,546.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,839.19 : 765,077.81 = 493,124.49 : x
  2. Step 2: Convert to fraction form
    510,839.19/765,077.81 = 493,124.49/x
  3. Step 3: Cross multiply
    510,839.19x = 765,077.81 × 493,124.49
  4. Step 4: Simplify right side
    510,839.19x = 377,278,602,400.94
  5. Step 5: Solve for x
    x = 377,278,602,400.94/510,839.19
  6. Step 6: Final answer
    x = 738,546.71

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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.