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Finding the Fourth Proportional to 360,978.70, 498,203.16 and 207,987.35

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Solution

The fourth proportional to 360,978.70, 498,203.16 and 207,987.35 is: 287,052.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,978.70 : 498,203.16 = 207,987.35 : x
  2. Step 2: Convert to fraction form
    360,978.70/498,203.16 = 207,987.35/x
  3. Step 3: Cross multiply
    360,978.70x = 498,203.16 × 207,987.35
  4. Step 4: Simplify right side
    360,978.70x = 103,619,951,739.06
  5. Step 5: Solve for x
    x = 103,619,951,739.06/360,978.70
  6. Step 6: Final answer
    x = 287,052.81

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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.