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Finding the Fourth Proportional to 385,022.96, 577,600.20 and 118,778.48

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Solution

The fourth proportional to 385,022.96, 577,600.20 and 118,778.48 is: 178,188.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,022.96 : 577,600.20 = 118,778.48 : x
  2. Step 2: Convert to fraction form
    385,022.96/577,600.20 = 118,778.48/x
  3. Step 3: Cross multiply
    385,022.96x = 577,600.20 × 118,778.48
  4. Step 4: Simplify right side
    385,022.96x = 68,606,473,803.70
  5. Step 5: Solve for x
    x = 68,606,473,803.70/385,022.96
  6. Step 6: Final answer
    x = 178,188.01

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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.