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Finding the Fourth Proportional to 497,418.50, 686,437.62 and 271,064

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Solution

The fourth proportional to 497,418.50, 686,437.62 and 271,064 is: 374,068.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,418.50 : 686,437.62 = 271,064 : x
  2. Step 2: Convert to fraction form
    497,418.50/686,437.62 = 271,064/x
  3. Step 3: Cross multiply
    497,418.50x = 686,437.62 × 271,064
  4. Step 4: Simplify right side
    497,418.50x = 186,068,527,027.68
  5. Step 5: Solve for x
    x = 186,068,527,027.68/497,418.50
  6. Step 6: Final answer
    x = 374,068.37

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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.