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Finding the Fourth Proportional to 489,842.77, 734,771.94 and 186,241.55

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Solution

The fourth proportional to 489,842.77, 734,771.94 and 186,241.55 is: 279,365.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,842.77 : 734,771.94 = 186,241.55 : x
  2. Step 2: Convert to fraction form
    489,842.77/734,771.94 = 186,241.55/x
  3. Step 3: Cross multiply
    489,842.77x = 734,771.94 × 186,241.55
  4. Step 4: Simplify right side
    489,842.77x = 136,845,065,002.11
  5. Step 5: Solve for x
    x = 136,845,065,002.11/489,842.77
  6. Step 6: Final answer
    x = 279,365.28

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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.