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Finding the Fourth Proportional to 214,085.80, 320,514.30 and 207,941.80

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Solution

The fourth proportional to 214,085.80, 320,514.30 and 207,941.80 is: 311,315.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,085.80 : 320,514.30 = 207,941.80 : x
  2. Step 2: Convert to fraction form
    214,085.80/320,514.30 = 207,941.80/x
  3. Step 3: Cross multiply
    214,085.80x = 320,514.30 × 207,941.80
  4. Step 4: Simplify right side
    214,085.80x = 66,648,320,467.74
  5. Step 5: Solve for x
    x = 66,648,320,467.74/214,085.80
  6. Step 6: Final answer
    x = 311,315.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.