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Finding the Fourth Proportional to 311,758.19, 430,226.30 and 226,946.33

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Solution

The fourth proportional to 311,758.19, 430,226.30 and 226,946.33 is: 313,185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,758.19 : 430,226.30 = 226,946.33 : x
  2. Step 2: Convert to fraction form
    311,758.19/430,226.30 = 226,946.33/x
  3. Step 3: Cross multiply
    311,758.19x = 430,226.30 × 226,946.33
  4. Step 4: Simplify right side
    311,758.19x = 97,638,279,854.48
  5. Step 5: Solve for x
    x = 97,638,279,854.48/311,758.19
  6. Step 6: Final answer
    x = 313,185.93

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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.