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Finding the Fourth Proportional to 293,646.96, 405,312.84 and 172,827

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Solution

The fourth proportional to 293,646.96, 405,312.84 and 172,827 is: 238,548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,646.96 : 405,312.84 = 172,827 : x
  2. Step 2: Convert to fraction form
    293,646.96/405,312.84 = 172,827/x
  3. Step 3: Cross multiply
    293,646.96x = 405,312.84 × 172,827
  4. Step 4: Simplify right side
    293,646.96x = 70,049,002,198.68
  5. Step 5: Solve for x
    x = 70,049,002,198.68/293,646.96
  6. Step 6: Final answer
    x = 238,548.37

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1.5x scale

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.