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Finding the Fourth Proportional to 515,891.84, 773,448 and 338,443.52

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Solution

The fourth proportional to 515,891.84, 773,448 and 338,443.52 is: 507,409.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,891.84 : 773,448 = 338,443.52 : x
  2. Step 2: Convert to fraction form
    515,891.84/773,448 = 338,443.52/x
  3. Step 3: Cross multiply
    515,891.84x = 773,448 × 338,443.52
  4. Step 4: Simplify right side
    515,891.84x = 261,768,463,656.96
  5. Step 5: Solve for x
    x = 261,768,463,656.96/515,891.84
  6. Step 6: Final answer
    x = 507,409.58

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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.