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Finding the Fourth Proportional to 299,741.86, 413,643.11 and 163,776.77

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Solution

The fourth proportional to 299,741.86, 413,643.11 and 163,776.77 is: 226,011.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,741.86 : 413,643.11 = 163,776.77 : x
  2. Step 2: Convert to fraction form
    299,741.86/413,643.11 = 163,776.77/x
  3. Step 3: Cross multiply
    299,741.86x = 413,643.11 × 163,776.77
  4. Step 4: Simplify right side
    299,741.86x = 67,745,133,932.10
  5. Step 5: Solve for x
    x = 67,745,133,932.10/299,741.86
  6. Step 6: Final answer
    x = 226,011.59

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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.