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Finding the Fourth Proportional to 380,417.92, 570,625.52 and 114,177.28

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Solution

The fourth proportional to 380,417.92, 570,625.52 and 114,177.28 is: 171,265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,417.92 : 570,625.52 = 114,177.28 : x
  2. Step 2: Convert to fraction form
    380,417.92/570,625.52 = 114,177.28/x
  3. Step 3: Cross multiply
    380,417.92x = 570,625.52 × 114,177.28
  4. Step 4: Simplify right side
    380,417.92x = 65,152,469,772.19
  5. Step 5: Solve for x
    x = 65,152,469,772.19/380,417.92
  6. Step 6: Final answer
    x = 171,265.51

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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.