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Finding the Fourth Proportional to 304,944.65, 457,699.87 and 219,643.45

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Solution

The fourth proportional to 304,944.65, 457,699.87 and 219,643.45 is: 329,668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,944.65 : 457,699.87 = 219,643.45 : x
  2. Step 2: Convert to fraction form
    304,944.65/457,699.87 = 219,643.45/x
  3. Step 3: Cross multiply
    304,944.65x = 457,699.87 × 219,643.45
  4. Step 4: Simplify right side
    304,944.65x = 100,530,776,406.16
  5. Step 5: Solve for x
    x = 100,530,776,406.16/304,944.65
  6. Step 6: Final answer
    x = 329,668.93

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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.