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Finding the Fourth Proportional to 302,729.76, 414,741.84 and 291,379.32

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Solution

The fourth proportional to 302,729.76, 414,741.84 and 291,379.32 is: 399,191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,729.76 : 414,741.84 = 291,379.32 : x
  2. Step 2: Convert to fraction form
    302,729.76/414,741.84 = 291,379.32/x
  3. Step 3: Cross multiply
    302,729.76x = 414,741.84 × 291,379.32
  4. Step 4: Simplify right side
    302,729.76x = 120,847,195,314.75
  5. Step 5: Solve for x
    x = 120,847,195,314.75/302,729.76
  6. Step 6: Final answer
    x = 399,191.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.