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Finding the Fourth Proportional to 470,940.60, 705,374.10 and 408,732.60

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Solution

The fourth proportional to 470,940.60, 705,374.10 and 408,732.60 is: 612,199.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,940.60 : 705,374.10 = 408,732.60 : x
  2. Step 2: Convert to fraction form
    470,940.60/705,374.10 = 408,732.60/x
  3. Step 3: Cross multiply
    470,940.60x = 705,374.10 × 408,732.60
  4. Step 4: Simplify right side
    470,940.60x = 288,309,389,865.66
  5. Step 5: Solve for x
    x = 288,309,389,865.66/470,940.60
  6. Step 6: Final answer
    x = 612,199.05

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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.