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Finding the Fourth Proportional to 295,635.11, 407,855.66 and 218,296.08

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Solution

The fourth proportional to 295,635.11, 407,855.66 and 218,296.08 is: 301,159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,635.11 : 407,855.66 = 218,296.08 : x
  2. Step 2: Convert to fraction form
    295,635.11/407,855.66 = 218,296.08/x
  3. Step 3: Cross multiply
    295,635.11x = 407,855.66 × 218,296.08
  4. Step 4: Simplify right side
    295,635.11x = 89,033,290,692.33
  5. Step 5: Solve for x
    x = 89,033,290,692.33/295,635.11
  6. Step 6: Final answer
    x = 301,159.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.