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Finding the Fourth Proportional to 486,468.66, 726,509.13 and 414,625.80

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Solution

The fourth proportional to 486,468.66, 726,509.13 and 414,625.80 is: 619,216.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,468.66 : 726,509.13 = 414,625.80 : x
  2. Step 2: Convert to fraction form
    486,468.66/726,509.13 = 414,625.80/x
  3. Step 3: Cross multiply
    486,468.66x = 726,509.13 × 414,625.80
  4. Step 4: Simplify right side
    486,468.66x = 301,229,429,233.55
  5. Step 5: Solve for x
    x = 301,229,429,233.55/486,468.66
  6. Step 6: Final answer
    x = 619,216.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.