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Finding the Fourth Proportional to 266,193.40, 399,290.10 and 139,784.80

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Solution

The fourth proportional to 266,193.40, 399,290.10 and 139,784.80 is: 209,677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,193.40 : 399,290.10 = 139,784.80 : x
  2. Step 2: Convert to fraction form
    266,193.40/399,290.10 = 139,784.80/x
  3. Step 3: Cross multiply
    266,193.40x = 399,290.10 × 139,784.80
  4. Step 4: Simplify right side
    266,193.40x = 55,814,686,770.48
  5. Step 5: Solve for x
    x = 55,814,686,770.48/266,193.40
  6. Step 6: Final answer
    x = 209,677.20

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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.