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Finding the Fourth Proportional to 456,999.28, 685,527.96 and 141,429.68

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Solution

The fourth proportional to 456,999.28, 685,527.96 and 141,429.68 is: 212,153.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,999.28 : 685,527.96 = 141,429.68 : x
  2. Step 2: Convert to fraction form
    456,999.28/685,527.96 = 141,429.68/x
  3. Step 3: Cross multiply
    456,999.28x = 685,527.96 × 141,429.68
  4. Step 4: Simplify right side
    456,999.28x = 96,954,000,013.85
  5. Step 5: Solve for x
    x = 96,954,000,013.85/456,999.28
  6. Step 6: Final answer
    x = 212,153.51

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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.