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Finding the Fourth Proportional to 209,640.40, 314,460.60 and 208,085.20

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Solution

The fourth proportional to 209,640.40, 314,460.60 and 208,085.20 is: 312,127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,640.40 : 314,460.60 = 208,085.20 : x
  2. Step 2: Convert to fraction form
    209,640.40/314,460.60 = 208,085.20/x
  3. Step 3: Cross multiply
    209,640.40x = 314,460.60 × 208,085.20
  4. Step 4: Simplify right side
    209,640.40x = 65,434,596,843.12
  5. Step 5: Solve for x
    x = 65,434,596,843.12/209,640.40
  6. Step 6: Final answer
    x = 312,127.80

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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.