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Finding the Fourth Proportional to 380,659.25, 571,041.32 and 127,959.36

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Solution

The fourth proportional to 380,659.25, 571,041.32 and 127,959.36 is: 191,956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,659.25 : 571,041.32 = 127,959.36 : x
  2. Step 2: Convert to fraction form
    380,659.25/571,041.32 = 127,959.36/x
  3. Step 3: Cross multiply
    380,659.25x = 571,041.32 × 127,959.36
  4. Step 4: Simplify right side
    380,659.25x = 73,070,081,200.96
  5. Step 5: Solve for x
    x = 73,070,081,200.96/380,659.25
  6. Step 6: Final answer
    x = 191,956.67

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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.