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Finding the Fourth Proportional to 385,261.60, 577,892.40 and 196,304.80

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Solution

The fourth proportional to 385,261.60, 577,892.40 and 196,304.80 is: 294,457.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,261.60 : 577,892.40 = 196,304.80 : x
  2. Step 2: Convert to fraction form
    385,261.60/577,892.40 = 196,304.80/x
  3. Step 3: Cross multiply
    385,261.60x = 577,892.40 × 196,304.80
  4. Step 4: Simplify right side
    385,261.60x = 113,443,052,003.52
  5. Step 5: Solve for x
    x = 113,443,052,003.52/385,261.60
  6. Step 6: Final answer
    x = 294,457.20

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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.