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Finding the Fourth Proportional to 315,581.76, 473,270.40 and 105,163.20

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Solution

The fourth proportional to 315,581.76, 473,270.40 and 105,163.20 is: 157,710.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,581.76 : 473,270.40 = 105,163.20 : x
  2. Step 2: Convert to fraction form
    315,581.76/473,270.40 = 105,163.20/x
  3. Step 3: Cross multiply
    315,581.76x = 473,270.40 × 105,163.20
  4. Step 4: Simplify right side
    315,581.76x = 49,770,629,729.28
  5. Step 5: Solve for x
    x = 49,770,629,729.28/315,581.76
  6. Step 6: Final answer
    x = 157,710.73

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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.