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Finding the Fourth Proportional to 413,619.84, 620,502.48 and 213,885.84

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Solution

The fourth proportional to 413,619.84, 620,502.48 and 213,885.84 is: 320,866.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,619.84 : 620,502.48 = 213,885.84 : x
  2. Step 2: Convert to fraction form
    413,619.84/620,502.48 = 213,885.84/x
  3. Step 3: Cross multiply
    413,619.84x = 620,502.48 × 213,885.84
  4. Step 4: Simplify right side
    413,619.84x = 132,716,694,156.88
  5. Step 5: Solve for x
    x = 132,716,694,156.88/413,619.84
  6. Step 6: Final answer
    x = 320,866.36

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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.