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Finding the Fourth Proportional to 369,177.76, 509,591.88 and 216,265

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Solution

The fourth proportional to 369,177.76, 509,591.88 and 216,265 is: 298,519.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,177.76 : 509,591.88 = 216,265 : x
  2. Step 2: Convert to fraction form
    369,177.76/509,591.88 = 216,265/x
  3. Step 3: Cross multiply
    369,177.76x = 509,591.88 × 216,265
  4. Step 4: Simplify right side
    369,177.76x = 110,206,887,928.20
  5. Step 5: Solve for x
    x = 110,206,887,928.20/369,177.76
  6. Step 6: Final answer
    x = 298,519.85

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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.