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Finding the Fourth Proportional to 401,378.40, 602,067.60 and 105,890.40

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Solution

The fourth proportional to 401,378.40, 602,067.60 and 105,890.40 is: 158,835.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,378.40 : 602,067.60 = 105,890.40 : x
  2. Step 2: Convert to fraction form
    401,378.40/602,067.60 = 105,890.40/x
  3. Step 3: Cross multiply
    401,378.40x = 602,067.60 × 105,890.40
  4. Step 4: Simplify right side
    401,378.40x = 63,753,178,991.04
  5. Step 5: Solve for x
    x = 63,753,178,991.04/401,378.40
  6. Step 6: Final answer
    x = 158,835.60

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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.