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Finding the Fourth Proportional to 382,966.80, 574,709.40 and 172,496.40

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Solution

The fourth proportional to 382,966.80, 574,709.40 and 172,496.40 is: 258,861.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,966.80 : 574,709.40 = 172,496.40 : x
  2. Step 2: Convert to fraction form
    382,966.80/574,709.40 = 172,496.40/x
  3. Step 3: Cross multiply
    382,966.80x = 574,709.40 × 172,496.40
  4. Step 4: Simplify right side
    382,966.80x = 99,135,302,546.16
  5. Step 5: Solve for x
    x = 99,135,302,546.16/382,966.80
  6. Step 6: Final answer
    x = 258,861.35

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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.