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Finding the Fourth Proportional to 382,108.80, 571,802.40 and 332,731.20

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Solution

The fourth proportional to 382,108.80, 571,802.40 and 332,731.20 is: 497,911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,108.80 : 571,802.40 = 332,731.20 : x
  2. Step 2: Convert to fraction form
    382,108.80/571,802.40 = 332,731.20/x
  3. Step 3: Cross multiply
    382,108.80x = 571,802.40 × 332,731.20
  4. Step 4: Simplify right side
    382,108.80x = 190,256,498,714.88
  5. Step 5: Solve for x
    x = 190,256,498,714.88/382,108.80
  6. Step 6: Final answer
    x = 497,911.85

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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.