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Finding the Fourth Proportional to 304,901.88, 420,527.65 and 208,183.53

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Solution

The fourth proportional to 304,901.88, 420,527.65 and 208,183.53 is: 287,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,901.88 : 420,527.65 = 208,183.53 : x
  2. Step 2: Convert to fraction form
    304,901.88/420,527.65 = 208,183.53/x
  3. Step 3: Cross multiply
    304,901.88x = 420,527.65 × 208,183.53
  4. Step 4: Simplify right side
    304,901.88x = 87,546,930,639.60
  5. Step 5: Solve for x
    x = 87,546,930,639.60/304,901.88
  6. Step 6: Final answer
    x = 287,131.49

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1.5x scale

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.