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Finding the Fourth Proportional to 323,089.13, 484,633.70 and 145,388.54

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Solution

The fourth proportional to 323,089.13, 484,633.70 and 145,388.54 is: 218,082.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,089.13 : 484,633.70 = 145,388.54 : x
  2. Step 2: Convert to fraction form
    323,089.13/484,633.70 = 145,388.54/x
  3. Step 3: Cross multiply
    323,089.13x = 484,633.70 × 145,388.54
  4. Step 4: Simplify right side
    323,089.13x = 70,460,186,077.80
  5. Step 5: Solve for x
    x = 70,460,186,077.80/323,089.13
  6. Step 6: Final answer
    x = 218,082.81

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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.