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Finding the Fourth Proportional to 380,570.20, 570,164.10 and 310,067.80

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Solution

The fourth proportional to 380,570.20, 570,164.10 and 310,067.80 is: 464,538.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,570.20 : 570,164.10 = 310,067.80 : x
  2. Step 2: Convert to fraction form
    380,570.20/570,164.10 = 310,067.80/x
  3. Step 3: Cross multiply
    380,570.20x = 570,164.10 × 310,067.80
  4. Step 4: Simplify right side
    380,570.20x = 176,789,528,125.98
  5. Step 5: Solve for x
    x = 176,789,528,125.98/380,570.20
  6. Step 6: Final answer
    x = 464,538.55

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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.