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Finding the Fourth Proportional to 413,717.04, 620,259.84 and 213,909.87

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Solution

The fourth proportional to 413,717.04, 620,259.84 and 213,909.87 is: 320,701.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,717.04 : 620,259.84 = 213,909.87 : x
  2. Step 2: Convert to fraction form
    413,717.04/620,259.84 = 213,909.87/x
  3. Step 3: Cross multiply
    413,717.04x = 620,259.84 × 213,909.87
  4. Step 4: Simplify right side
    413,717.04x = 132,679,701,740.62
  5. Step 5: Solve for x
    x = 132,679,701,740.62/413,717.04
  6. Step 6: Final answer
    x = 320,701.56

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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.