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Finding the Fourth Proportional to 405,742.40, 608,671.20 and 125,230.40

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Solution

The fourth proportional to 405,742.40, 608,671.20 and 125,230.40 is: 187,863.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,742.40 : 608,671.20 = 125,230.40 : x
  2. Step 2: Convert to fraction form
    405,742.40/608,671.20 = 125,230.40/x
  3. Step 3: Cross multiply
    405,742.40x = 608,671.20 × 125,230.40
  4. Step 4: Simplify right side
    405,742.40x = 76,224,137,844.48
  5. Step 5: Solve for x
    x = 76,224,137,844.48/405,742.40
  6. Step 6: Final answer
    x = 187,863.38

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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.