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Finding the Fourth Proportional to 421,907.46, 582,233.82 and 228,315.15

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Solution

The fourth proportional to 421,907.46, 582,233.82 and 228,315.15 is: 315,075.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,907.46 : 582,233.82 = 228,315.15 : x
  2. Step 2: Convert to fraction form
    421,907.46/582,233.82 = 228,315.15/x
  3. Step 3: Cross multiply
    421,907.46x = 582,233.82 × 228,315.15
  4. Step 4: Simplify right side
    421,907.46x = 132,932,801,948.37
  5. Step 5: Solve for x
    x = 132,932,801,948.37/421,907.46
  6. Step 6: Final answer
    x = 315,075.73

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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.