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Finding the Fourth Proportional to 300,980.35, 415,352.78 and 165,011.39

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Solution

The fourth proportional to 300,980.35, 415,352.78 and 165,011.39 is: 227,715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,980.35 : 415,352.78 = 165,011.39 : x
  2. Step 2: Convert to fraction form
    300,980.35/415,352.78 = 165,011.39/x
  3. Step 3: Cross multiply
    300,980.35x = 415,352.78 × 165,011.39
  4. Step 4: Simplify right side
    300,980.35x = 68,537,938,743.11
  5. Step 5: Solve for x
    x = 68,537,938,743.11/300,980.35
  6. Step 6: Final answer
    x = 227,715.66

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1.5x scale

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.