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Finding the Fourth Proportional to 421,704.42, 582,045.51 and 291,065.49

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Solution

The fourth proportional to 421,704.42, 582,045.51 and 291,065.49 is: 401,734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,704.42 : 582,045.51 = 291,065.49 : x
  2. Step 2: Convert to fraction form
    421,704.42/582,045.51 = 291,065.49/x
  3. Step 3: Cross multiply
    421,704.42x = 582,045.51 × 291,065.49
  4. Step 4: Simplify right side
    421,704.42x = 169,413,361,570.45
  5. Step 5: Solve for x
    x = 169,413,361,570.45/421,704.42
  6. Step 6: Final answer
    x = 401,734.85

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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.