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Finding the Fourth Proportional to 509,085.90, 702,515.84 and 305,249.30

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Solution

The fourth proportional to 509,085.90, 702,515.84 and 305,249.30 is: 421,230.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,085.90 : 702,515.84 = 305,249.30 : x
  2. Step 2: Convert to fraction form
    509,085.90/702,515.84 = 305,249.30/x
  3. Step 3: Cross multiply
    509,085.90x = 702,515.84 × 305,249.30
  4. Step 4: Simplify right side
    509,085.90x = 214,442,463,360.09
  5. Step 5: Solve for x
    x = 214,442,463,360.09/509,085.90
  6. Step 6: Final answer
    x = 421,230.41

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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.