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Finding the Fourth Proportional to 497,561.92, 686,628.48 and 271,208.32

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Solution

The fourth proportional to 497,561.92, 686,628.48 and 271,208.32 is: 374,263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,561.92 : 686,628.48 = 271,208.32 : x
  2. Step 2: Convert to fraction form
    497,561.92/686,628.48 = 271,208.32/x
  3. Step 3: Cross multiply
    497,561.92x = 686,628.48 × 271,208.32
  4. Step 4: Simplify right side
    497,561.92x = 186,219,356,524.95
  5. Step 5: Solve for x
    x = 186,219,356,524.95/497,561.92
  6. Step 6: Final answer
    x = 374,263.68

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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.