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Finding the Fourth Proportional to 380,386.60, 570,579.36 and 114,146.68

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Solution

The fourth proportional to 380,386.60, 570,579.36 and 114,146.68 is: 171,219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,386.60 : 570,579.36 = 114,146.68 : x
  2. Step 2: Convert to fraction form
    380,386.60/570,579.36 = 114,146.68/x
  3. Step 3: Cross multiply
    380,386.60x = 570,579.36 × 114,146.68
  4. Step 4: Simplify right side
    380,386.60x = 65,129,739,620.52
  5. Step 5: Solve for x
    x = 65,129,739,620.52/380,386.60
  6. Step 6: Final answer
    x = 171,219.86

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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.