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Finding the Fourth Proportional to 305,321.36, 457,795.80 and 136,810.64

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Solution

The fourth proportional to 305,321.36, 457,795.80 and 136,810.64 is: 205,132.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,321.36 : 457,795.80 = 136,810.64 : x
  2. Step 2: Convert to fraction form
    305,321.36/457,795.80 = 136,810.64/x
  3. Step 3: Cross multiply
    305,321.36x = 457,795.80 × 136,810.64
  4. Step 4: Simplify right side
    305,321.36x = 62,631,336,387.31
  5. Step 5: Solve for x
    x = 62,631,336,387.31/305,321.36
  6. Step 6: Final answer
    x = 205,132.51

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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.