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Finding the Fourth Proportional to 305,863.31, 458,892.47 and 128,322.65

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Solution

The fourth proportional to 305,863.31, 458,892.47 and 128,322.65 is: 192,524.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,863.31 : 458,892.47 = 128,322.65 : x
  2. Step 2: Convert to fraction form
    305,863.31/458,892.47 = 128,322.65/x
  3. Step 3: Cross multiply
    305,863.31x = 458,892.47 × 128,322.65
  4. Step 4: Simplify right side
    305,863.31x = 58,886,299,283.48
  5. Step 5: Solve for x
    x = 58,886,299,283.48/305,863.31
  6. Step 6: Final answer
    x = 192,524.89

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1.5x scale

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.