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Finding the Fourth Proportional to 296,909.58, 409,185.74 and 210,872.33

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Solution

The fourth proportional to 296,909.58, 409,185.74 and 210,872.33 is: 290,613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,909.58 : 409,185.74 = 210,872.33 : x
  2. Step 2: Convert to fraction form
    296,909.58/409,185.74 = 210,872.33/x
  3. Step 3: Cross multiply
    296,909.58x = 409,185.74 × 210,872.33
  4. Step 4: Simplify right side
    296,909.58x = 86,285,950,412.27
  5. Step 5: Solve for x
    x = 86,285,950,412.27/296,909.58
  6. Step 6: Final answer
    x = 290,613.56

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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.