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Finding the Fourth Proportional to 315,583.56, 473,379.54 and 105,221.58

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Solution

The fourth proportional to 315,583.56, 473,379.54 and 105,221.58 is: 157,833.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,583.56 : 473,379.54 = 105,221.58 : x
  2. Step 2: Convert to fraction form
    315,583.56/473,379.54 = 105,221.58/x
  3. Step 3: Cross multiply
    315,583.56x = 473,379.54 × 105,221.58
  4. Step 4: Simplify right side
    315,583.56x = 49,809,743,138.47
  5. Step 5: Solve for x
    x = 49,809,743,138.47/315,583.56
  6. Step 6: Final answer
    x = 157,833.77

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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.