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Finding the Fourth Proportional to 330,457.58, 495,021.09 and 152,719.82

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Solution

The fourth proportional to 330,457.58, 495,021.09 and 152,719.82 is: 228,772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,457.58 : 495,021.09 = 152,719.82 : x
  2. Step 2: Convert to fraction form
    330,457.58/495,021.09 = 152,719.82/x
  3. Step 3: Cross multiply
    330,457.58x = 495,021.09 × 152,719.82
  4. Step 4: Simplify right side
    330,457.58x = 75,599,531,761.00
  5. Step 5: Solve for x
    x = 75,599,531,761.00/330,457.58
  6. Step 6: Final answer
    x = 228,772.27

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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.