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Finding the Fourth Proportional to 375,379.84, 518,031.75 and 205,614.10

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Solution

The fourth proportional to 375,379.84, 518,031.75 and 205,614.10 is: 283,751.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,379.84 : 518,031.75 = 205,614.10 : x
  2. Step 2: Convert to fraction form
    375,379.84/518,031.75 = 205,614.10/x
  3. Step 3: Cross multiply
    375,379.84x = 518,031.75 × 205,614.10
  4. Step 4: Simplify right side
    375,379.84x = 106,514,632,047.68
  5. Step 5: Solve for x
    x = 106,514,632,047.68/375,379.84
  6. Step 6: Final answer
    x = 283,751.60

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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.