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Finding the Fourth Proportional to 405,028.84, 606,877.59 and 138,644.04

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Solution

The fourth proportional to 405,028.84, 606,877.59 and 138,644.04 is: 207,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,028.84 : 606,877.59 = 138,644.04 : x
  2. Step 2: Convert to fraction form
    405,028.84/606,877.59 = 138,644.04/x
  3. Step 3: Cross multiply
    405,028.84x = 606,877.59 × 138,644.04
  4. Step 4: Simplify right side
    405,028.84x = 84,139,960,863.06
  5. Step 5: Solve for x
    x = 84,139,960,863.06/405,028.84
  6. Step 6: Final answer
    x = 207,738.20

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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.