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Finding the Fourth Proportional to 380,417.70, 570,221.91 and 143,659.62

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Solution

The fourth proportional to 380,417.70, 570,221.91 and 143,659.62 is: 215,336.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,417.70 : 570,221.91 = 143,659.62 : x
  2. Step 2: Convert to fraction form
    380,417.70/570,221.91 = 143,659.62/x
  3. Step 3: Cross multiply
    380,417.70x = 570,221.91 × 143,659.62
  4. Step 4: Simplify right side
    380,417.70x = 81,917,862,906.27
  5. Step 5: Solve for x
    x = 81,917,862,906.27/380,417.70
  6. Step 6: Final answer
    x = 215,336.62

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1.5x scale

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.