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Finding the Fourth Proportional to 407,240.25, 610,948.11 and 122,907

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Solution

The fourth proportional to 407,240.25, 610,948.11 and 122,907 is: 184,386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,240.25 : 610,948.11 = 122,907 : x
  2. Step 2: Convert to fraction form
    407,240.25/610,948.11 = 122,907/x
  3. Step 3: Cross multiply
    407,240.25x = 610,948.11 × 122,907
  4. Step 4: Simplify right side
    407,240.25x = 75,089,799,355.77
  5. Step 5: Solve for x
    x = 75,089,799,355.77/407,240.25
  6. Step 6: Final answer
    x = 184,386.98

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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.