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Finding the Fourth Proportional to 305,015.52, 457,584.40 and 105,343.20

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Solution

The fourth proportional to 305,015.52, 457,584.40 and 105,343.20 is: 158,035.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,015.52 : 457,584.40 = 105,343.20 : x
  2. Step 2: Convert to fraction form
    305,015.52/457,584.40 = 105,343.20/x
  3. Step 3: Cross multiply
    305,015.52x = 457,584.40 × 105,343.20
  4. Step 4: Simplify right side
    305,015.52x = 48,203,404,966.08
  5. Step 5: Solve for x
    x = 48,203,404,966.08/305,015.52
  6. Step 6: Final answer
    x = 158,035.91

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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.