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Finding the Fourth Proportional to 693,721.77, 957,490.37 and 421,732

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Solution

The fourth proportional to 693,721.77, 957,490.37 and 421,732 is: 582,083.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,721.77 : 957,490.37 = 421,732 : x
  2. Step 2: Convert to fraction form
    693,721.77/957,490.37 = 421,732/x
  3. Step 3: Cross multiply
    693,721.77x = 957,490.37 × 421,732
  4. Step 4: Simplify right side
    693,721.77x = 403,804,328,720.84
  5. Step 5: Solve for x
    x = 403,804,328,720.84/693,721.77
  6. Step 6: Final answer
    x = 582,083.98

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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.