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Finding the Fourth Proportional to 421,817.42, 582,108.07 and 230,830.82

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Solution

The fourth proportional to 421,817.42, 582,108.07 and 230,830.82 is: 318,546.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,817.42 : 582,108.07 = 230,830.82 : x
  2. Step 2: Convert to fraction form
    421,817.42/582,108.07 = 230,830.82/x
  3. Step 3: Cross multiply
    421,817.42x = 582,108.07 × 230,830.82
  4. Step 4: Simplify right side
    421,817.42x = 134,368,483,126.72
  5. Step 5: Solve for x
    x = 134,368,483,126.72/421,817.42
  6. Step 6: Final answer
    x = 318,546.55

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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.