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Finding the Fourth Proportional to 304,648.53, 420,418.31 and 168,684.95

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Solution

The fourth proportional to 304,648.53, 420,418.31 and 168,684.95 is: 232,787.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,648.53 : 420,418.31 = 168,684.95 : x
  2. Step 2: Convert to fraction form
    304,648.53/420,418.31 = 168,684.95/x
  3. Step 3: Cross multiply
    304,648.53x = 420,418.31 × 168,684.95
  4. Step 4: Simplify right side
    304,648.53x = 70,918,238,655.92
  5. Step 5: Solve for x
    x = 70,918,238,655.92/304,648.53
  6. Step 6: Final answer
    x = 232,787.07

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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.