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Finding the Fourth Proportional to 381,683.80, 572,525.70 and 269,126.20

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Solution

The fourth proportional to 381,683.80, 572,525.70 and 269,126.20 is: 403,689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,683.80 : 572,525.70 = 269,126.20 : x
  2. Step 2: Convert to fraction form
    381,683.80/572,525.70 = 269,126.20/x
  3. Step 3: Cross multiply
    381,683.80x = 572,525.70 × 269,126.20
  4. Step 4: Simplify right side
    381,683.80x = 154,081,666,043.34
  5. Step 5: Solve for x
    x = 154,081,666,043.34/381,683.80
  6. Step 6: Final answer
    x = 403,689.30

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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.