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Finding the Fourth Proportional to 291,309.86, 402,015.21 and 163,990.10

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Solution

The fourth proportional to 291,309.86, 402,015.21 and 163,990.10 is: 226,310.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,309.86 : 402,015.21 = 163,990.10 : x
  2. Step 2: Convert to fraction form
    291,309.86/402,015.21 = 163,990.10/x
  3. Step 3: Cross multiply
    291,309.86x = 402,015.21 × 163,990.10
  4. Step 4: Simplify right side
    291,309.86x = 65,926,514,489.42
  5. Step 5: Solve for x
    x = 65,926,514,489.42/291,309.86
  6. Step 6: Final answer
    x = 226,310.62

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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.