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Finding the Fourth Proportional to 282,593.80, 423,889.02 and 72,231.40

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Solution

The fourth proportional to 282,593.80, 423,889.02 and 72,231.40 is: 108,346.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,593.80 : 423,889.02 = 72,231.40 : x
  2. Step 2: Convert to fraction form
    282,593.80/423,889.02 = 72,231.40/x
  3. Step 3: Cross multiply
    282,593.80x = 423,889.02 × 72,231.40
  4. Step 4: Simplify right side
    282,593.80x = 30,618,097,359.23
  5. Step 5: Solve for x
    x = 30,618,097,359.23/282,593.80
  6. Step 6: Final answer
    x = 108,346.67

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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.