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Finding the Fourth Proportional to 423,198.50, 634,790.40 and 170,472.53

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Solution

The fourth proportional to 423,198.50, 634,790.40 and 170,472.53 is: 255,705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,198.50 : 634,790.40 = 170,472.53 : x
  2. Step 2: Convert to fraction form
    423,198.50/634,790.40 = 170,472.53/x
  3. Step 3: Cross multiply
    423,198.50x = 634,790.40 × 170,472.53
  4. Step 4: Simplify right side
    423,198.50x = 108,214,323,639.65
  5. Step 5: Solve for x
    x = 108,214,323,639.65/423,198.50
  6. Step 6: Final answer
    x = 255,705.83

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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.