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Finding the Fourth Proportional to 388,283.50, 535,829.89 and 216,203.53

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Solution

The fourth proportional to 388,283.50, 535,829.89 and 216,203.53 is: 298,360.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,283.50 : 535,829.89 = 216,203.53 : x
  2. Step 2: Convert to fraction form
    388,283.50/535,829.89 = 216,203.53/x
  3. Step 3: Cross multiply
    388,283.50x = 535,829.89 × 216,203.53
  4. Step 4: Simplify right side
    388,283.50x = 115,848,313,372.11
  5. Step 5: Solve for x
    x = 115,848,313,372.11/388,283.50
  6. Step 6: Final answer
    x = 298,360.12

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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.