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Finding the Fourth Proportional to 385,015.72, 577,577.86 and 118,797.88

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Solution

The fourth proportional to 385,015.72, 577,577.86 and 118,797.88 is: 178,213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,015.72 : 577,577.86 = 118,797.88 : x
  2. Step 2: Convert to fraction form
    385,015.72/577,577.86 = 118,797.88/x
  3. Step 3: Cross multiply
    385,015.72x = 577,577.86 × 118,797.88
  4. Step 4: Simplify right side
    385,015.72x = 68,615,025,302.94
  5. Step 5: Solve for x
    x = 68,615,025,302.94/385,015.72
  6. Step 6: Final answer
    x = 178,213.57

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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.