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Finding the Fourth Proportional to 385,525.92, 578,486.52 and 186,016.44

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Solution

The fourth proportional to 385,525.92, 578,486.52 and 186,016.44 is: 279,120.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,525.92 : 578,486.52 = 186,016.44 : x
  2. Step 2: Convert to fraction form
    385,525.92/578,486.52 = 186,016.44/x
  3. Step 3: Cross multiply
    385,525.92x = 578,486.52 × 186,016.44
  4. Step 4: Simplify right side
    385,525.92x = 107,608,003,038.39
  5. Step 5: Solve for x
    x = 107,608,003,038.39/385,525.92
  6. Step 6: Final answer
    x = 279,120.02

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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.