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Finding the Fourth Proportional to 420,999.24, 580,978.26 and 230,012.58

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Solution

The fourth proportional to 420,999.24, 580,978.26 and 230,012.58 is: 317,416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,999.24 : 580,978.26 = 230,012.58 : x
  2. Step 2: Convert to fraction form
    420,999.24/580,978.26 = 230,012.58/x
  3. Step 3: Cross multiply
    420,999.24x = 580,978.26 × 230,012.58
  4. Step 4: Simplify right side
    420,999.24x = 133,632,308,506.51
  5. Step 5: Solve for x
    x = 133,632,308,506.51/420,999.24
  6. Step 6: Final answer
    x = 317,416.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.