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Finding the Fourth Proportional to 463,725.16, 639,964.50 and 259,763.80

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Solution

The fourth proportional to 463,725.16, 639,964.50 and 259,763.80 is: 358,487.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,725.16 : 639,964.50 = 259,763.80 : x
  2. Step 2: Convert to fraction form
    463,725.16/639,964.50 = 259,763.80/x
  3. Step 3: Cross multiply
    463,725.16x = 639,964.50 × 259,763.80
  4. Step 4: Simplify right side
    463,725.16x = 166,239,610,385.10
  5. Step 5: Solve for x
    x = 166,239,610,385.10/463,725.16
  6. Step 6: Final answer
    x = 358,487.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.