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Finding the Fourth Proportional to 310,003.36, 427,934.64 and 209,537.44

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Solution

The fourth proportional to 310,003.36, 427,934.64 and 209,537.44 is: 289,249.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,003.36 : 427,934.64 = 209,537.44 : x
  2. Step 2: Convert to fraction form
    310,003.36/427,934.64 = 209,537.44/x
  3. Step 3: Cross multiply
    310,003.36x = 427,934.64 × 209,537.44
  4. Step 4: Simplify right side
    310,003.36x = 89,668,328,952.92
  5. Step 5: Solve for x
    x = 89,668,328,952.92/310,003.36
  6. Step 6: Final answer
    x = 289,249.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.