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Finding the Fourth Proportional to 497,802.28, 686,965.89 and 271,447.78

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Solution

The fourth proportional to 497,802.28, 686,965.89 and 271,447.78 is: 374,597.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,802.28 : 686,965.89 = 271,447.78 : x
  2. Step 2: Convert to fraction form
    497,802.28/686,965.89 = 271,447.78/x
  3. Step 3: Cross multiply
    497,802.28x = 686,965.89 × 271,447.78
  4. Step 4: Simplify right side
    497,802.28x = 186,475,365,776.22
  5. Step 5: Solve for x
    x = 186,475,365,776.22/497,802.28
  6. Step 6: Final answer
    x = 374,597.25

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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.