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Finding the Fourth Proportional to 567,978.51, 783,797.71 and 313,329.63

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Solution

The fourth proportional to 567,978.51, 783,797.71 and 313,329.63 is: 432,387.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,978.51 : 783,797.71 = 313,329.63 : x
  2. Step 2: Convert to fraction form
    567,978.51/783,797.71 = 313,329.63/x
  3. Step 3: Cross multiply
    567,978.51x = 783,797.71 × 313,329.63
  4. Step 4: Simplify right side
    567,978.51x = 245,587,046,469.15
  5. Step 5: Solve for x
    x = 245,587,046,469.15/567,978.51
  6. Step 6: Final answer
    x = 432,387.92

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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.