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Finding the Fourth Proportional to 567,978.63, 783,797.89 and 313,329.75

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Solution

The fourth proportional to 567,978.63, 783,797.89 and 313,329.75 is: 432,388.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,978.63 : 783,797.89 = 313,329.75 : x
  2. Step 2: Convert to fraction form
    567,978.63/783,797.89 = 313,329.75/x
  3. Step 3: Cross multiply
    567,978.63x = 783,797.89 × 313,329.75
  4. Step 4: Simplify right side
    567,978.63x = 245,587,196,140.90
  5. Step 5: Solve for x
    x = 245,587,196,140.90/567,978.63
  6. Step 6: Final answer
    x = 432,388.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.