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Finding the Fourth Proportional to 385,356.60, 578,090.22 and 119,137.86

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Solution

The fourth proportional to 385,356.60, 578,090.22 and 119,137.86 is: 178,723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,356.60 : 578,090.22 = 119,137.86 : x
  2. Step 2: Convert to fraction form
    385,356.60/578,090.22 = 119,137.86/x
  3. Step 3: Cross multiply
    385,356.60x = 578,090.22 × 119,137.86
  4. Step 4: Simplify right side
    385,356.60x = 68,872,431,697.73
  5. Step 5: Solve for x
    x = 68,872,431,697.73/385,356.60
  6. Step 6: Final answer
    x = 178,723.89

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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.