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Finding the Fourth Proportional to 469,987.63, 648,401.28 and 265,991.80

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Solution

The fourth proportional to 469,987.63, 648,401.28 and 265,991.80 is: 366,965.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,987.63 : 648,401.28 = 265,991.80 : x
  2. Step 2: Convert to fraction form
    469,987.63/648,401.28 = 265,991.80/x
  3. Step 3: Cross multiply
    469,987.63x = 648,401.28 × 265,991.80
  4. Step 4: Simplify right side
    469,987.63x = 172,469,420,971.03
  5. Step 5: Solve for x
    x = 172,469,420,971.03/469,987.63
  6. Step 6: Final answer
    x = 366,965.87

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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.