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Finding the Fourth Proportional to 405,953.88, 608,989.14 and 125,493

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Solution

The fourth proportional to 405,953.88, 608,989.14 and 125,493 is: 188,257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,953.88 : 608,989.14 = 125,493 : x
  2. Step 2: Convert to fraction form
    405,953.88/608,989.14 = 125,493/x
  3. Step 3: Cross multiply
    405,953.88x = 608,989.14 × 125,493
  4. Step 4: Simplify right side
    405,953.88x = 76,423,874,146.02
  5. Step 5: Solve for x
    x = 76,423,874,146.02/405,953.88
  6. Step 6: Final answer
    x = 188,257.53

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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.