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Finding the Fourth Proportional to 522,969.10, 784,972.05 and 257,029.90

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Solution

The fourth proportional to 522,969.10, 784,972.05 and 257,029.90 is: 385,799.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,969.10 : 784,972.05 = 257,029.90 : x
  2. Step 2: Convert to fraction form
    522,969.10/784,972.05 = 257,029.90/x
  3. Step 3: Cross multiply
    522,969.10x = 784,972.05 × 257,029.90
  4. Step 4: Simplify right side
    522,969.10x = 201,761,287,514.30
  5. Step 5: Solve for x
    x = 201,761,287,514.30/522,969.10
  6. Step 6: Final answer
    x = 385,799.63

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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.