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Finding the Fourth Proportional to 456,687.41, 685,446.65 and 243,635.95

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Solution

The fourth proportional to 456,687.41, 685,446.65 and 243,635.95 is: 365,675.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,687.41 : 685,446.65 = 243,635.95 : x
  2. Step 2: Convert to fraction form
    456,687.41/685,446.65 = 243,635.95/x
  3. Step 3: Cross multiply
    456,687.41x = 685,446.65 × 243,635.95
  4. Step 4: Simplify right side
    456,687.41x = 166,999,441,101.66
  5. Step 5: Solve for x
    x = 166,999,441,101.66/456,687.41
  6. Step 6: Final answer
    x = 365,675.60

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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.