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Finding the Fourth Proportional to 403,205.80, 603,810.88 and 234,213.58

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Solution

The fourth proportional to 403,205.80, 603,810.88 and 234,213.58 is: 350,740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,205.80 : 603,810.88 = 234,213.58 : x
  2. Step 2: Convert to fraction form
    403,205.80/603,810.88 = 234,213.58/x
  3. Step 3: Cross multiply
    403,205.80x = 603,810.88 × 234,213.58
  4. Step 4: Simplify right side
    403,205.80x = 141,420,705,279.27
  5. Step 5: Solve for x
    x = 141,420,705,279.27/403,205.80
  6. Step 6: Final answer
    x = 350,740.75

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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.