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Finding the Fourth Proportional to 647,678.46, 893,491.23 and 421,241.34

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Solution

The fourth proportional to 647,678.46, 893,491.23 and 421,241.34 is: 581,114.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,678.46 : 893,491.23 = 421,241.34 : x
  2. Step 2: Convert to fraction form
    647,678.46/893,491.23 = 421,241.34/x
  3. Step 3: Cross multiply
    647,678.46x = 893,491.23 × 421,241.34
  4. Step 4: Simplify right side
    647,678.46x = 376,375,443,003.45
  5. Step 5: Solve for x
    x = 376,375,443,003.45/647,678.46
  6. Step 6: Final answer
    x = 581,114.65

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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.