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Finding the Fourth Proportional to 405,270, 607,905 and 109,782

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Solution

The fourth proportional to 405,270, 607,905 and 109,782 is: 164,673

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,270 : 607,905 = 109,782 : x
  2. Step 2: Convert to fraction form
    405,270/607,905 = 109,782/x
  3. Step 3: Cross multiply
    405,270x = 607,905 × 109,782
  4. Step 4: Simplify right side
    405,270x = 66,737,026,710
  5. Step 5: Solve for x
    x = 66,737,026,710/405,270
  6. Step 6: Final answer
    x = 164,673

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.