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Finding the Fourth Proportional to 380,031.69, 524,508.03 and 218,857.08

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Solution

The fourth proportional to 380,031.69, 524,508.03 and 218,857.08 is: 302,059.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,031.69 : 524,508.03 = 218,857.08 : x
  2. Step 2: Convert to fraction form
    380,031.69/524,508.03 = 218,857.08/x
  3. Step 3: Cross multiply
    380,031.69x = 524,508.03 × 218,857.08
  4. Step 4: Simplify right side
    380,031.69x = 114,792,295,882.35
  5. Step 5: Solve for x
    x = 114,792,295,882.35/380,031.69
  6. Step 6: Final answer
    x = 302,059.80

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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.