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Finding the Fourth Proportional to 380,387.60, 570,580.86 and 114,147.68

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Solution

The fourth proportional to 380,387.60, 570,580.86 and 114,147.68 is: 171,221.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,387.60 : 570,580.86 = 114,147.68 : x
  2. Step 2: Convert to fraction form
    380,387.60/570,580.86 = 114,147.68/x
  3. Step 3: Cross multiply
    380,387.60x = 570,580.86 × 114,147.68
  4. Step 4: Simplify right side
    380,387.60x = 65,130,481,421.40
  5. Step 5: Solve for x
    x = 65,130,481,421.40/380,387.60
  6. Step 6: Final answer
    x = 171,221.36

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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.