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Finding the Fourth Proportional to 463,994.82, 640,282.50 and 272,971.26

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Solution

The fourth proportional to 463,994.82, 640,282.50 and 272,971.26 is: 376,682.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,994.82 : 640,282.50 = 272,971.26 : x
  2. Step 2: Convert to fraction form
    463,994.82/640,282.50 = 272,971.26/x
  3. Step 3: Cross multiply
    463,994.82x = 640,282.50 × 272,971.26
  4. Step 4: Simplify right side
    463,994.82x = 174,778,720,780.95
  5. Step 5: Solve for x
    x = 174,778,720,780.95/463,994.82
  6. Step 6: Final answer
    x = 376,682.48

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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.