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Finding the Fourth Proportional to 388,123.16, 535,596.02 and 216,035.42

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Solution

The fourth proportional to 388,123.16, 535,596.02 and 216,035.42 is: 298,121.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,123.16 : 535,596.02 = 216,035.42 : x
  2. Step 2: Convert to fraction form
    388,123.16/535,596.02 = 216,035.42/x
  3. Step 3: Cross multiply
    388,123.16x = 535,596.02 × 216,035.42
  4. Step 4: Simplify right side
    388,123.16x = 115,707,711,131.03
  5. Step 5: Solve for x
    x = 115,707,711,131.03/388,123.16
  6. Step 6: Final answer
    x = 298,121.12

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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.