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Finding the Fourth Proportional to 369,180.76, 509,596.02 and 216,268

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Solution

The fourth proportional to 369,180.76, 509,596.02 and 216,268 is: 298,523.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,180.76 : 509,596.02 = 216,268 : x
  2. Step 2: Convert to fraction form
    369,180.76/509,596.02 = 216,268/x
  3. Step 3: Cross multiply
    369,180.76x = 509,596.02 × 216,268
  4. Step 4: Simplify right side
    369,180.76x = 110,209,312,053.36
  5. Step 5: Solve for x
    x = 110,209,312,053.36/369,180.76
  6. Step 6: Final answer
    x = 298,523.99

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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.