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Finding the Fourth Proportional to 306,046.50, 459,096.21 and 84,430.50

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Solution

The fourth proportional to 306,046.50, 459,096.21 and 84,430.50 is: 126,653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,046.50 : 459,096.21 = 84,430.50 : x
  2. Step 2: Convert to fraction form
    306,046.50/459,096.21 = 84,430.50/x
  3. Step 3: Cross multiply
    306,046.50x = 459,096.21 × 84,430.50
  4. Step 4: Simplify right side
    306,046.50x = 38,761,722,558.41
  5. Step 5: Solve for x
    x = 38,761,722,558.41/306,046.50
  6. Step 6: Final answer
    x = 126,653.05

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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.