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Finding the Fourth Proportional to 419,260.80, 628,891.20 and 293,289.60

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Solution

The fourth proportional to 419,260.80, 628,891.20 and 293,289.60 is: 439,934.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,260.80 : 628,891.20 = 293,289.60 : x
  2. Step 2: Convert to fraction form
    419,260.80/628,891.20 = 293,289.60/x
  3. Step 3: Cross multiply
    419,260.80x = 628,891.20 × 293,289.60
  4. Step 4: Simplify right side
    419,260.80x = 184,447,248,491.52
  5. Step 5: Solve for x
    x = 184,447,248,491.52/419,260.80
  6. Step 6: Final answer
    x = 439,934.40

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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.