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Finding the Fourth Proportional to 388,824.84, 536,584.14 and 216,738

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Solution

The fourth proportional to 388,824.84, 536,584.14 and 216,738 is: 299,101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,824.84 : 536,584.14 = 216,738 : x
  2. Step 2: Convert to fraction form
    388,824.84/536,584.14 = 216,738/x
  3. Step 3: Cross multiply
    388,824.84x = 536,584.14 × 216,738
  4. Step 4: Simplify right side
    388,824.84x = 116,298,173,335.32
  5. Step 5: Solve for x
    x = 116,298,173,335.32/388,824.84
  6. Step 6: Final answer
    x = 299,101.71

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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.