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Finding the Fourth Proportional to 538,871.35, 743,660.40 and 293,869.51

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Solution

The fourth proportional to 538,871.35, 743,660.40 and 293,869.51 is: 405,549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,871.35 : 743,660.40 = 293,869.51 : x
  2. Step 2: Convert to fraction form
    538,871.35/743,660.40 = 293,869.51/x
  3. Step 3: Cross multiply
    538,871.35x = 743,660.40 × 293,869.51
  4. Step 4: Simplify right side
    538,871.35x = 218,539,117,354.40
  5. Step 5: Solve for x
    x = 218,539,117,354.40/538,871.35
  6. Step 6: Final answer
    x = 405,549.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.