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Finding the Fourth Proportional to 380,580.48, 570,936.70 and 127,885.64

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Solution

The fourth proportional to 380,580.48, 570,936.70 and 127,885.64 is: 191,850.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,580.48 : 570,936.70 = 127,885.64 : x
  2. Step 2: Convert to fraction form
    380,580.48/570,936.70 = 127,885.64/x
  3. Step 3: Cross multiply
    380,580.48x = 570,936.70 × 127,885.64
  4. Step 4: Simplify right side
    380,580.48x = 73,014,605,278.99
  5. Step 5: Solve for x
    x = 73,014,605,278.99/380,580.48
  6. Step 6: Final answer
    x = 191,850.63

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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.