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Finding the Fourth Proportional to 286,008.60, 394,594.10 and 163,413.01

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Solution

The fourth proportional to 286,008.60, 394,594.10 and 163,413.01 is: 225,454.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,008.60 : 394,594.10 = 163,413.01 : x
  2. Step 2: Convert to fraction form
    286,008.60/394,594.10 = 163,413.01/x
  3. Step 3: Cross multiply
    286,008.60x = 394,594.10 × 163,413.01
  4. Step 4: Simplify right side
    286,008.60x = 64,481,810,817.42
  5. Step 5: Solve for x
    x = 64,481,810,817.42/286,008.60
  6. Step 6: Final answer
    x = 225,454.10

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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.