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Finding the Fourth Proportional to 296,611.58, 409,321.89 and 160,642.40

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Solution

The fourth proportional to 296,611.58, 409,321.89 and 160,642.40 is: 221,685.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,611.58 : 409,321.89 = 160,642.40 : x
  2. Step 2: Convert to fraction form
    296,611.58/409,321.89 = 160,642.40/x
  3. Step 3: Cross multiply
    296,611.58x = 409,321.89 × 160,642.40
  4. Step 4: Simplify right side
    296,611.58x = 65,754,450,782.14
  5. Step 5: Solve for x
    x = 65,754,450,782.14/296,611.58
  6. Step 6: Final answer
    x = 221,685.38

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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.