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Finding the Fourth Proportional to 405,411.34, 608,182.34 and 124,928.46

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Solution

The fourth proportional to 405,411.34, 608,182.34 and 124,928.46 is: 187,412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,411.34 : 608,182.34 = 124,928.46 : x
  2. Step 2: Convert to fraction form
    405,411.34/608,182.34 = 124,928.46/x
  3. Step 3: Cross multiply
    405,411.34x = 608,182.34 × 124,928.46
  4. Step 4: Simplify right side
    405,411.34x = 75,979,283,135.40
  5. Step 5: Solve for x
    x = 75,979,283,135.40/405,411.34
  6. Step 6: Final answer
    x = 187,412.82

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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.