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Finding the Fourth Proportional to 258,466.32, 356,573.88 and 157,806

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Solution

The fourth proportional to 258,466.32, 356,573.88 and 157,806 is: 217,705.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,466.32 : 356,573.88 = 157,806 : x
  2. Step 2: Convert to fraction form
    258,466.32/356,573.88 = 157,806/x
  3. Step 3: Cross multiply
    258,466.32x = 356,573.88 × 157,806
  4. Step 4: Simplify right side
    258,466.32x = 56,269,497,707.28
  5. Step 5: Solve for x
    x = 56,269,497,707.28/258,466.32
  6. Step 6: Final answer
    x = 217,705.34

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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.