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Finding the Fourth Proportional to 687,646.06, 949,050.24 and 412,014.80

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Solution

The fourth proportional to 687,646.06, 949,050.24 and 412,014.80 is: 568,639.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,646.06 : 949,050.24 = 412,014.80 : x
  2. Step 2: Convert to fraction form
    687,646.06/949,050.24 = 412,014.80/x
  3. Step 3: Cross multiply
    687,646.06x = 949,050.24 × 412,014.80
  4. Step 4: Simplify right side
    687,646.06x = 391,022,745,651.12
  5. Step 5: Solve for x
    x = 391,022,745,651.12/687,646.06
  6. Step 6: Final answer
    x = 568,639.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.