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Finding the Fourth Proportional to 305,796.99, 457,997.13 and 145,985.34

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Solution

The fourth proportional to 305,796.99, 457,997.13 and 145,985.34 is: 218,644.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,796.99 : 457,997.13 = 145,985.34 : x
  2. Step 2: Convert to fraction form
    305,796.99/457,997.13 = 145,985.34/x
  3. Step 3: Cross multiply
    305,796.99x = 457,997.13 × 145,985.34
  4. Step 4: Simplify right side
    305,796.99x = 66,860,866,742.07
  5. Step 5: Solve for x
    x = 66,860,866,742.07/305,796.99
  6. Step 6: Final answer
    x = 218,644.62

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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.