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Finding the Fourth Proportional to 497,162.51, 686,064.92 and 303,893.82

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Solution

The fourth proportional to 497,162.51, 686,064.92 and 303,893.82 is: 419,361.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,162.51 : 686,064.92 = 303,893.82 : x
  2. Step 2: Convert to fraction form
    497,162.51/686,064.92 = 303,893.82/x
  3. Step 3: Cross multiply
    497,162.51x = 686,064.92 × 303,893.82
  4. Step 4: Simplify right side
    497,162.51x = 208,490,890,066.53
  5. Step 5: Solve for x
    x = 208,490,890,066.53/497,162.51
  6. Step 6: Final answer
    x = 419,361.65

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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.