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Finding the Fourth Proportional to 324,369.84, 447,841 and 290,319.28

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Solution

The fourth proportional to 324,369.84, 447,841 and 290,319.28 is: 400,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,369.84 : 447,841 = 290,319.28 : x
  2. Step 2: Convert to fraction form
    324,369.84/447,841 = 290,319.28/x
  3. Step 3: Cross multiply
    324,369.84x = 447,841 × 290,319.28
  4. Step 4: Simplify right side
    324,369.84x = 130,016,876,674.48
  5. Step 5: Solve for x
    x = 130,016,876,674.48/324,369.84
  6. Step 6: Final answer
    x = 400,829.12

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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.