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Finding the Fourth Proportional to 305,221.16, 457,684 and 105,471.48

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Solution

The fourth proportional to 305,221.16, 457,684 and 105,471.48 is: 158,156.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,221.16 : 457,684 = 105,471.48 : x
  2. Step 2: Convert to fraction form
    305,221.16/457,684 = 105,471.48/x
  3. Step 3: Cross multiply
    305,221.16x = 457,684 × 105,471.48
  4. Step 4: Simplify right side
    305,221.16x = 48,272,608,852.32
  5. Step 5: Solve for x
    x = 48,272,608,852.32/305,221.16
  6. Step 6: Final answer
    x = 158,156.17

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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.