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Finding the Fourth Proportional to 409,178.91, 613,374.69 and 209,593.29

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Solution

The fourth proportional to 409,178.91, 613,374.69 and 209,593.29 is: 314,188.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,178.91 : 613,374.69 = 209,593.29 : x
  2. Step 2: Convert to fraction form
    409,178.91/613,374.69 = 209,593.29/x
  3. Step 3: Cross multiply
    409,178.91x = 613,374.69 × 209,593.29
  4. Step 4: Simplify right side
    409,178.91x = 128,559,216,212.96
  5. Step 5: Solve for x
    x = 128,559,216,212.96/409,178.91
  6. Step 6: Final answer
    x = 314,188.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.