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Finding the Fourth Proportional to 443,715.30, 664,588.80 and 384,666.30

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Solution

The fourth proportional to 443,715.30, 664,588.80 and 384,666.30 is: 576,146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,715.30 : 664,588.80 = 384,666.30 : x
  2. Step 2: Convert to fraction form
    443,715.30/664,588.80 = 384,666.30/x
  3. Step 3: Cross multiply
    443,715.30x = 664,588.80 × 384,666.30
  4. Step 4: Simplify right side
    443,715.30x = 255,644,914,717.44
  5. Step 5: Solve for x
    x = 255,644,914,717.44/443,715.30
  6. Step 6: Final answer
    x = 576,146.27

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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.