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Finding the Fourth Proportional to 305,520.64, 458,288.64 and 83,904

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Solution

The fourth proportional to 305,520.64, 458,288.64 and 83,904 is: 125,858.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,520.64 : 458,288.64 = 83,904 : x
  2. Step 2: Convert to fraction form
    305,520.64/458,288.64 = 83,904/x
  3. Step 3: Cross multiply
    305,520.64x = 458,288.64 × 83,904
  4. Step 4: Simplify right side
    305,520.64x = 38,452,250,050.56
  5. Step 5: Solve for x
    x = 38,452,250,050.56/305,520.64
  6. Step 6: Final answer
    x = 125,858.11

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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.