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Finding the Fourth Proportional to 305,867.31, 458,898.47 and 128,326.65

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Solution

The fourth proportional to 305,867.31, 458,898.47 and 128,326.65 is: 192,530.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,867.31 : 458,898.47 = 128,326.65 : x
  2. Step 2: Convert to fraction form
    305,867.31/458,898.47 = 128,326.65/x
  3. Step 3: Cross multiply
    305,867.31x = 458,898.47 × 128,326.65
  4. Step 4: Simplify right side
    305,867.31x = 58,888,903,345.23
  5. Step 5: Solve for x
    x = 58,888,903,345.23/305,867.31
  6. Step 6: Final answer
    x = 192,530.88

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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.