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Finding the Fourth Proportional to 305,127.21, 457,690.83 and 118,138.71

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Solution

The fourth proportional to 305,127.21, 457,690.83 and 118,138.71 is: 177,208.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,127.21 : 457,690.83 = 118,138.71 : x
  2. Step 2: Convert to fraction form
    305,127.21/457,690.83 = 118,138.71/x
  3. Step 3: Cross multiply
    305,127.21x = 457,690.83 × 118,138.71
  4. Step 4: Simplify right side
    305,127.21x = 54,071,004,235.03
  5. Step 5: Solve for x
    x = 54,071,004,235.03/305,127.21
  6. Step 6: Final answer
    x = 177,208.07

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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.