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Finding the Fourth Proportional to 401,404, 602,146.36 and 105,916

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Solution

The fourth proportional to 401,404, 602,146.36 and 105,916 is: 158,884.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,404 : 602,146.36 = 105,916 : x
  2. Step 2: Convert to fraction form
    401,404/602,146.36 = 105,916/x
  3. Step 3: Cross multiply
    401,404x = 602,146.36 × 105,916
  4. Step 4: Simplify right side
    401,404x = 63,776,933,865.76
  5. Step 5: Solve for x
    x = 63,776,933,865.76/401,404
  6. Step 6: Final answer
    x = 158,884.65

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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.