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Finding the Fourth Proportional to 260,834.42, 359,953 and 153,408.98

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Solution

The fourth proportional to 260,834.42, 359,953 and 153,408.98 is: 211,705.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,834.42 : 359,953 = 153,408.98 : x
  2. Step 2: Convert to fraction form
    260,834.42/359,953 = 153,408.98/x
  3. Step 3: Cross multiply
    260,834.42x = 359,953 × 153,408.98
  4. Step 4: Simplify right side
    260,834.42x = 55,220,022,577.94
  5. Step 5: Solve for x
    x = 55,220,022,577.94/260,834.42
  6. Step 6: Final answer
    x = 211,705.27

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1.5x scale

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.