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Finding the Fourth Proportional to 456,687.66, 685,447.02 and 243,636.20

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Solution

The fourth proportional to 456,687.66, 685,447.02 and 243,636.20 is: 365,675.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,687.66 : 685,447.02 = 243,636.20 : x
  2. Step 2: Convert to fraction form
    456,687.66/685,447.02 = 243,636.20/x
  3. Step 3: Cross multiply
    456,687.66x = 685,447.02 × 243,636.20
  4. Step 4: Simplify right side
    456,687.66x = 166,999,703,826.89
  5. Step 5: Solve for x
    x = 166,999,703,826.89/456,687.66
  6. Step 6: Final answer
    x = 365,675.97

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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.