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Finding the Fourth Proportional to 463,176, 639,200.16 and 261,967.68

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Solution

The fourth proportional to 463,176, 639,200.16 and 261,967.68 is: 361,525.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,176 : 639,200.16 = 261,967.68 : x
  2. Step 2: Convert to fraction form
    463,176/639,200.16 = 261,967.68/x
  3. Step 3: Cross multiply
    463,176x = 639,200.16 × 261,967.68
  4. Step 4: Simplify right side
    463,176x = 167,449,782,970.83
  5. Step 5: Solve for x
    x = 167,449,782,970.83/463,176
  6. Step 6: Final answer
    x = 361,525.17

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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.