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Finding the Fourth Proportional to 320,763.48, 480,983.22 and 107,457.72

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Solution

The fourth proportional to 320,763.48, 480,983.22 and 107,457.72 is: 161,132.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,763.48 : 480,983.22 = 107,457.72 : x
  2. Step 2: Convert to fraction form
    320,763.48/480,983.22 = 107,457.72/x
  3. Step 3: Cross multiply
    320,763.48x = 480,983.22 × 107,457.72
  4. Step 4: Simplify right side
    320,763.48x = 51,685,360,179.46
  5. Step 5: Solve for x
    x = 51,685,360,179.46/320,763.48
  6. Step 6: Final answer
    x = 161,132.31

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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.