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Finding the Fourth Proportional to 305,049, 457,611.77 and 91,783.70

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Solution

The fourth proportional to 305,049, 457,611.77 and 91,783.70 is: 137,687.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,049 : 457,611.77 = 91,783.70 : x
  2. Step 2: Convert to fraction form
    305,049/457,611.77 = 91,783.70/x
  3. Step 3: Cross multiply
    305,049x = 457,611.77 × 91,783.70
  4. Step 4: Simplify right side
    305,049x = 42,001,298,667.17
  5. Step 5: Solve for x
    x = 42,001,298,667.17/305,049
  6. Step 6: Final answer
    x = 137,687.06

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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.