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Finding the Fourth Proportional to 313,632.72, 470,378.14 and 145,060.54

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Solution

The fourth proportional to 313,632.72, 470,378.14 and 145,060.54 is: 217,558.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,632.72 : 470,378.14 = 145,060.54 : x
  2. Step 2: Convert to fraction form
    313,632.72/470,378.14 = 145,060.54/x
  3. Step 3: Cross multiply
    313,632.72x = 470,378.14 × 145,060.54
  4. Step 4: Simplify right side
    313,632.72x = 68,233,306,992.60
  5. Step 5: Solve for x
    x = 68,233,306,992.60/313,632.72
  6. Step 6: Final answer
    x = 217,558.00

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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.