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Finding the Fourth Proportional to 385,804.85, 578,495.86 and 119,491.43

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Solution

The fourth proportional to 385,804.85, 578,495.86 and 119,491.43 is: 179,171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,804.85 : 578,495.86 = 119,491.43 : x
  2. Step 2: Convert to fraction form
    385,804.85/578,495.86 = 119,491.43/x
  3. Step 3: Cross multiply
    385,804.85x = 578,495.86 × 119,491.43
  4. Step 4: Simplify right side
    385,804.85x = 69,125,294,369.27
  5. Step 5: Solve for x
    x = 69,125,294,369.27/385,804.85
  6. Step 6: Final answer
    x = 179,171.66

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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.