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Finding the Fourth Proportional to 456,605.32, 685,070.34 and 203,863

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Solution

The fourth proportional to 456,605.32, 685,070.34 and 203,863 is: 305,866.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,605.32 : 685,070.34 = 203,863 : x
  2. Step 2: Convert to fraction form
    456,605.32/685,070.34 = 203,863/x
  3. Step 3: Cross multiply
    456,605.32x = 685,070.34 × 203,863
  4. Step 4: Simplify right side
    456,605.32x = 139,660,494,723.42
  5. Step 5: Solve for x
    x = 139,660,494,723.42/456,605.32
  6. Step 6: Final answer
    x = 305,866.99

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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.