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Finding the Fourth Proportional to 416,978.60, 575,415.04 and 225,987.92

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Solution

The fourth proportional to 416,978.60, 575,415.04 and 225,987.92 is: 311,854.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,978.60 : 575,415.04 = 225,987.92 : x
  2. Step 2: Convert to fraction form
    416,978.60/575,415.04 = 225,987.92/x
  3. Step 3: Cross multiply
    416,978.60x = 575,415.04 × 225,987.92
  4. Step 4: Simplify right side
    416,978.60x = 130,036,848,026.32
  5. Step 5: Solve for x
    x = 130,036,848,026.32/416,978.60
  6. Step 6: Final answer
    x = 311,854.97

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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.