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Finding the Fourth Proportional to 434,122.80, 650,147.40 and 266,161.20

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Solution

The fourth proportional to 434,122.80, 650,147.40 and 266,161.20 is: 398,606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,122.80 : 650,147.40 = 266,161.20 : x
  2. Step 2: Convert to fraction form
    434,122.80/650,147.40 = 266,161.20/x
  3. Step 3: Cross multiply
    434,122.80x = 650,147.40 × 266,161.20
  4. Step 4: Simplify right side
    434,122.80x = 173,044,012,160.88
  5. Step 5: Solve for x
    x = 173,044,012,160.88/434,122.80
  6. Step 6: Final answer
    x = 398,606.14

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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.