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Finding the Fourth Proportional to 260,684.57, 359,714.94 and 145,947.26

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Solution

The fourth proportional to 260,684.57, 359,714.94 and 145,947.26 is: 201,390.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,684.57 : 359,714.94 = 145,947.26 : x
  2. Step 2: Convert to fraction form
    260,684.57/359,714.94 = 145,947.26/x
  3. Step 3: Cross multiply
    260,684.57x = 359,714.94 × 145,947.26
  4. Step 4: Simplify right side
    260,684.57x = 52,499,408,075.49
  5. Step 5: Solve for x
    x = 52,499,408,075.49/260,684.57
  6. Step 6: Final answer
    x = 201,390.55

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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.