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Finding the Fourth Proportional to 389,605.91, 584,405.82 and 209,775.60

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Solution

The fourth proportional to 389,605.91, 584,405.82 and 209,775.60 is: 314,661.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,605.91 : 584,405.82 = 209,775.60 : x
  2. Step 2: Convert to fraction form
    389,605.91/584,405.82 = 209,775.60/x
  3. Step 3: Cross multiply
    389,605.91x = 584,405.82 × 209,775.60
  4. Step 4: Simplify right side
    389,605.91x = 122,594,081,533.99
  5. Step 5: Solve for x
    x = 122,594,081,533.99/389,605.91
  6. Step 6: Final answer
    x = 314,661.76

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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.