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Finding the Fourth Proportional to 385,755.60, 578,633.40 and 226,323.30

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Solution

The fourth proportional to 385,755.60, 578,633.40 and 226,323.30 is: 339,484.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,755.60 : 578,633.40 = 226,323.30 : x
  2. Step 2: Convert to fraction form
    385,755.60/578,633.40 = 226,323.30/x
  3. Step 3: Cross multiply
    385,755.60x = 578,633.40 × 226,323.30
  4. Step 4: Simplify right side
    385,755.60x = 130,958,220,578.22
  5. Step 5: Solve for x
    x = 130,958,220,578.22/385,755.60
  6. Step 6: Final answer
    x = 339,484.95

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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.