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Finding the Fourth Proportional to 310,372.10, 465,514.95 and 100,031.30

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Solution

The fourth proportional to 310,372.10, 465,514.95 and 100,031.30 is: 150,033.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,372.10 : 465,514.95 = 100,031.30 : x
  2. Step 2: Convert to fraction form
    310,372.10/465,514.95 = 100,031.30/x
  3. Step 3: Cross multiply
    310,372.10x = 465,514.95 × 100,031.30
  4. Step 4: Simplify right side
    310,372.10x = 46,566,065,617.94
  5. Step 5: Solve for x
    x = 46,566,065,617.94/310,372.10
  6. Step 6: Final answer
    x = 150,033.03

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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.