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Finding the Fourth Proportional to 288,546.56, 432,803.64 and 78,169.04

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Solution

The fourth proportional to 288,546.56, 432,803.64 and 78,169.04 is: 117,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,546.56 : 432,803.64 = 78,169.04 : x
  2. Step 2: Convert to fraction form
    288,546.56/432,803.64 = 78,169.04/x
  3. Step 3: Cross multiply
    288,546.56x = 432,803.64 × 78,169.04
  4. Step 4: Simplify right side
    288,546.56x = 33,831,845,047.31
  5. Step 5: Solve for x
    x = 33,831,845,047.31/288,546.56
  6. Step 6: Final answer
    x = 117,249.17

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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.