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Finding the Fourth Proportional to 258,435.20, 387,364.80 and 100,611.20

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Solution

The fourth proportional to 258,435.20, 387,364.80 and 100,611.20 is: 150,804.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,435.20 : 387,364.80 = 100,611.20 : x
  2. Step 2: Convert to fraction form
    258,435.20/387,364.80 = 100,611.20/x
  3. Step 3: Cross multiply
    258,435.20x = 387,364.80 × 100,611.20
  4. Step 4: Simplify right side
    258,435.20x = 38,973,237,365.76
  5. Step 5: Solve for x
    x = 38,973,237,365.76/258,435.20
  6. Step 6: Final answer
    x = 150,804.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.