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Finding the Fourth Proportional to 559,704.38, 772,408.24 and 305,072.06

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Solution

The fourth proportional to 559,704.38, 772,408.24 and 305,072.06 is: 421,008.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,704.38 : 772,408.24 = 305,072.06 : x
  2. Step 2: Convert to fraction form
    559,704.38/772,408.24 = 305,072.06/x
  3. Step 3: Cross multiply
    559,704.38x = 772,408.24 × 305,072.06
  4. Step 4: Simplify right side
    559,704.38x = 235,640,172,937.77
  5. Step 5: Solve for x
    x = 235,640,172,937.77/559,704.38
  6. Step 6: Final answer
    x = 421,008.27

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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.