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Finding the Fourth Proportional to 402,458.14, 603,774.33 and 121,996.54

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Solution

The fourth proportional to 402,458.14, 603,774.33 and 121,996.54 is: 183,021.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,458.14 : 603,774.33 = 121,996.54 : x
  2. Step 2: Convert to fraction form
    402,458.14/603,774.33 = 121,996.54/x
  3. Step 3: Cross multiply
    402,458.14x = 603,774.33 × 121,996.54
  4. Step 4: Simplify right side
    402,458.14x = 73,658,379,200.82
  5. Step 5: Solve for x
    x = 73,658,379,200.82/402,458.14
  6. Step 6: Final answer
    x = 183,021.22

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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.