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Finding the Fourth Proportional to 393,293.61, 542,436.84 and 269,188.14

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Solution

The fourth proportional to 393,293.61, 542,436.84 and 269,188.14 is: 371,268.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,293.61 : 542,436.84 = 269,188.14 : x
  2. Step 2: Convert to fraction form
    393,293.61/542,436.84 = 269,188.14/x
  3. Step 3: Cross multiply
    393,293.61x = 542,436.84 × 269,188.14
  4. Step 4: Simplify right side
    393,293.61x = 146,017,564,027.08
  5. Step 5: Solve for x
    x = 146,017,564,027.08/393,293.61
  6. Step 6: Final answer
    x = 371,268.59

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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.