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Finding the Fourth Proportional to 260,764.84, 359,843 and 160,143.40

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Solution

The fourth proportional to 260,764.84, 359,843 and 160,143.40 is: 220,990.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,764.84 : 359,843 = 160,143.40 : x
  2. Step 2: Convert to fraction form
    260,764.84/359,843 = 160,143.40/x
  3. Step 3: Cross multiply
    260,764.84x = 359,843 × 160,143.40
  4. Step 4: Simplify right side
    260,764.84x = 57,626,481,486.20
  5. Step 5: Solve for x
    x = 57,626,481,486.20/260,764.84
  6. Step 6: Final answer
    x = 220,990.23

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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.