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Finding the Fourth Proportional to 647,968.34, 893,891.49 and 421,531.22

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Solution

The fourth proportional to 647,968.34, 893,891.49 and 421,531.22 is: 581,514.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,968.34 : 893,891.49 = 421,531.22 : x
  2. Step 2: Convert to fraction form
    647,968.34/893,891.49 = 421,531.22/x
  3. Step 3: Cross multiply
    647,968.34x = 893,891.49 × 421,531.22
  4. Step 4: Simplify right side
    647,968.34x = 376,803,170,327.32
  5. Step 5: Solve for x
    x = 376,803,170,327.32/647,968.34
  6. Step 6: Final answer
    x = 581,514.79

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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.