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Finding the Fourth Proportional to 305,909.21, 459,155.69 and 187,811.21

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Solution

The fourth proportional to 305,909.21, 459,155.69 and 187,811.21 is: 281,896.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,909.21 : 459,155.69 = 187,811.21 : x
  2. Step 2: Convert to fraction form
    305,909.21/459,155.69 = 187,811.21/x
  3. Step 3: Cross multiply
    305,909.21x = 459,155.69 × 187,811.21
  4. Step 4: Simplify right side
    305,909.21x = 86,234,586,630.41
  5. Step 5: Solve for x
    x = 86,234,586,630.41/305,909.21
  6. Step 6: Final answer
    x = 281,896.01

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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.