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Finding the Fourth Proportional to 401,387.60, 602,012.28 and 188,178.32

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Solution

The fourth proportional to 401,387.60, 602,012.28 and 188,178.32 is: 282,235.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,387.60 : 602,012.28 = 188,178.32 : x
  2. Step 2: Convert to fraction form
    401,387.60/602,012.28 = 188,178.32/x
  3. Step 3: Cross multiply
    401,387.60x = 602,012.28 × 188,178.32
  4. Step 4: Simplify right side
    401,387.60x = 113,285,659,469.77
  5. Step 5: Solve for x
    x = 113,285,659,469.77/401,387.60
  6. Step 6: Final answer
    x = 282,235.08

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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.