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Finding the Fourth Proportional to 665,203.90, 996,711.45 and 384,231.10

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Solution

The fourth proportional to 665,203.90, 996,711.45 and 384,231.10 is: 575,714.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,203.90 : 996,711.45 = 384,231.10 : x
  2. Step 2: Convert to fraction form
    665,203.90/996,711.45 = 384,231.10/x
  3. Step 3: Cross multiply
    665,203.90x = 996,711.45 × 384,231.10
  4. Step 4: Simplify right side
    665,203.90x = 382,967,536,816.10
  5. Step 5: Solve for x
    x = 382,967,536,816.10/665,203.90
  6. Step 6: Final answer
    x = 575,714.51

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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.