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Finding the Fourth Proportional to 282,581.62, 423,872.64 and 72,219.76

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Solution

The fourth proportional to 282,581.62, 423,872.64 and 72,219.76 is: 108,329.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,581.62 : 423,872.64 = 72,219.76 : x
  2. Step 2: Convert to fraction form
    282,581.62/423,872.64 = 72,219.76/x
  3. Step 3: Cross multiply
    282,581.62x = 423,872.64 × 72,219.76
  4. Step 4: Simplify right side
    282,581.62x = 30,611,980,331.37
  5. Step 5: Solve for x
    x = 30,611,980,331.37/282,581.62
  6. Step 6: Final answer
    x = 108,329.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.