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Finding the Fourth Proportional to 209,437.25, 314,287.11 and 84,778.25

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Solution

The fourth proportional to 209,437.25, 314,287.11 and 84,778.25 is: 127,220.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,437.25 : 314,287.11 = 84,778.25 : x
  2. Step 2: Convert to fraction form
    209,437.25/314,287.11 = 84,778.25/x
  3. Step 3: Cross multiply
    209,437.25x = 314,287.11 × 84,778.25
  4. Step 4: Simplify right side
    209,437.25x = 26,644,709,611.92
  5. Step 5: Solve for x
    x = 26,644,709,611.92/209,437.25
  6. Step 6: Final answer
    x = 127,220.49

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1.5x scale

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.