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Finding the Fourth Proportional to 320,048.72, 480,131.40 and 109,707.92

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Solution

The fourth proportional to 320,048.72, 480,131.40 and 109,707.92 is: 164,581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,048.72 : 480,131.40 = 109,707.92 : x
  2. Step 2: Convert to fraction form
    320,048.72/480,131.40 = 109,707.92/x
  3. Step 3: Cross multiply
    320,048.72x = 480,131.40 × 109,707.92
  4. Step 4: Simplify right side
    320,048.72x = 52,674,217,220.69
  5. Step 5: Solve for x
    x = 52,674,217,220.69/320,048.72
  6. Step 6: Final answer
    x = 164,581.87

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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.