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Finding the Fourth Proportional to 210,144.80, 289,640.40 and 164,525.60

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Solution

The fourth proportional to 210,144.80, 289,640.40 and 164,525.60 is: 226,763.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,144.80 : 289,640.40 = 164,525.60 : x
  2. Step 2: Convert to fraction form
    210,144.80/289,640.40 = 164,525.60/x
  3. Step 3: Cross multiply
    210,144.80x = 289,640.40 × 164,525.60
  4. Step 4: Simplify right side
    210,144.80x = 47,653,260,594.24
  5. Step 5: Solve for x
    x = 47,653,260,594.24/210,144.80
  6. Step 6: Final answer
    x = 226,763.93

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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.