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Finding the Fourth Proportional to 386,509.28, 579,758.52 and 133,973.60

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Solution

The fourth proportional to 386,509.28, 579,758.52 and 133,973.60 is: 200,958.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,509.28 : 579,758.52 = 133,973.60 : x
  2. Step 2: Convert to fraction form
    386,509.28/579,758.52 = 133,973.60/x
  3. Step 3: Cross multiply
    386,509.28x = 579,758.52 × 133,973.60
  4. Step 4: Simplify right side
    386,509.28x = 77,672,336,055.07
  5. Step 5: Solve for x
    x = 77,672,336,055.07/386,509.28
  6. Step 6: Final answer
    x = 200,958.53

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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.