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Finding the Fourth Proportional to 545,909.28, 818,863.92 and 213,252

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Solution

The fourth proportional to 545,909.28, 818,863.92 and 213,252 is: 319,878

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,909.28 : 818,863.92 = 213,252 : x
  2. Step 2: Convert to fraction form
    545,909.28/818,863.92 = 213,252/x
  3. Step 3: Cross multiply
    545,909.28x = 818,863.92 × 213,252
  4. Step 4: Simplify right side
    545,909.28x = 174,624,368,667.84
  5. Step 5: Solve for x
    x = 174,624,368,667.84/545,909.28
  6. Step 6: Final answer
    x = 319,878

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.