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Finding the Fourth Proportional to 405,410.34, 608,180.84 and 124,927.46

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Solution

The fourth proportional to 405,410.34, 608,180.84 and 124,927.46 is: 187,411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,410.34 : 608,180.84 = 124,927.46 : x
  2. Step 2: Convert to fraction form
    405,410.34/608,180.84 = 124,927.46/x
  3. Step 3: Cross multiply
    405,410.34x = 608,180.84 × 124,927.46
  4. Step 4: Simplify right side
    405,410.34x = 75,978,487,561.87
  5. Step 5: Solve for x
    x = 75,978,487,561.87/405,410.34
  6. Step 6: Final answer
    x = 187,411.32

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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.