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Finding the Fourth Proportional to 486,322.98, 727,989.68 and 414,578.42

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Solution

The fourth proportional to 486,322.98, 727,989.68 and 414,578.42 is: 620,593.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,322.98 : 727,989.68 = 414,578.42 : x
  2. Step 2: Convert to fraction form
    486,322.98/727,989.68 = 414,578.42/x
  3. Step 3: Cross multiply
    486,322.98x = 727,989.68 × 414,578.42
  4. Step 4: Simplify right side
    486,322.98x = 301,808,811,310.71
  5. Step 5: Solve for x
    x = 301,808,811,310.71/486,322.98
  6. Step 6: Final answer
    x = 620,593.36

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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.