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Finding the Fourth Proportional to 299,727.40, 413,605.14 and 163,733.80

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Solution

The fourth proportional to 299,727.40, 413,605.14 and 163,733.80 is: 225,942.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,727.40 : 413,605.14 = 163,733.80 : x
  2. Step 2: Convert to fraction form
    299,727.40/413,605.14 = 163,733.80/x
  3. Step 3: Cross multiply
    299,727.40x = 413,605.14 × 163,733.80
  4. Step 4: Simplify right side
    299,727.40x = 67,721,141,271.73
  5. Step 5: Solve for x
    x = 67,721,141,271.73/299,727.40
  6. Step 6: Final answer
    x = 225,942.44

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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.