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Finding the Fourth Proportional to 401,443.86, 602,166.82 and 135,391.26

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Solution

The fourth proportional to 401,443.86, 602,166.82 and 135,391.26 is: 203,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,443.86 : 602,166.82 = 135,391.26 : x
  2. Step 2: Convert to fraction form
    401,443.86/602,166.82 = 135,391.26/x
  3. Step 3: Cross multiply
    401,443.86x = 602,166.82 × 135,391.26
  4. Step 4: Simplify right side
    401,443.86x = 81,528,124,489.99
  5. Step 5: Solve for x
    x = 81,528,124,489.99/401,443.86
  6. Step 6: Final answer
    x = 203,087.24

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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.