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Finding the Fourth Proportional to 385,836.96, 578,846.40 and 161,072.40

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Solution

The fourth proportional to 385,836.96, 578,846.40 and 161,072.40 is: 241,646.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,836.96 : 578,846.40 = 161,072.40 : x
  2. Step 2: Convert to fraction form
    385,836.96/578,846.40 = 161,072.40/x
  3. Step 3: Cross multiply
    385,836.96x = 578,846.40 × 161,072.40
  4. Step 4: Simplify right side
    385,836.96x = 93,236,178,879.36
  5. Step 5: Solve for x
    x = 93,236,178,879.36/385,836.96
  6. Step 6: Final answer
    x = 241,646.57

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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.