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Finding the Fourth Proportional to 405,496.40, 607,821.42 and 180,961.88

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Solution

The fourth proportional to 405,496.40, 607,821.42 and 180,961.88 is: 271,253.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,496.40 : 607,821.42 = 180,961.88 : x
  2. Step 2: Convert to fraction form
    405,496.40/607,821.42 = 180,961.88/x
  3. Step 3: Cross multiply
    405,496.40x = 607,821.42 × 180,961.88
  4. Step 4: Simplify right side
    405,496.40x = 109,992,506,867.47
  5. Step 5: Solve for x
    x = 109,992,506,867.47/405,496.40
  6. Step 6: Final answer
    x = 271,253.97

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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.