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Finding the Fourth Proportional to 518,820.56, 715,863.48 and 314,978.80

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Solution

The fourth proportional to 518,820.56, 715,863.48 and 314,978.80 is: 434,604.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,820.56 : 715,863.48 = 314,978.80 : x
  2. Step 2: Convert to fraction form
    518,820.56/715,863.48 = 314,978.80/x
  3. Step 3: Cross multiply
    518,820.56x = 715,863.48 × 314,978.80
  4. Step 4: Simplify right side
    518,820.56x = 225,481,819,894.22
  5. Step 5: Solve for x
    x = 225,481,819,894.22/518,820.56
  6. Step 6: Final answer
    x = 434,604.63

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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.