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Finding the Fourth Proportional to 497,283.75, 686,233.17 and 304,015.17

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Solution

The fourth proportional to 497,283.75, 686,233.17 and 304,015.17 is: 419,529.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,283.75 : 686,233.17 = 304,015.17 : x
  2. Step 2: Convert to fraction form
    497,283.75/686,233.17 = 304,015.17/x
  3. Step 3: Cross multiply
    497,283.75x = 686,233.17 × 304,015.17
  4. Step 4: Simplify right side
    497,283.75x = 208,625,293,837.19
  5. Step 5: Solve for x
    x = 208,625,293,837.19/497,283.75
  6. Step 6: Final answer
    x = 419,529.68

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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.