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Finding the Fourth Proportional to 509,961.37, 703,784.97 and 306,021.19

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Solution

The fourth proportional to 509,961.37, 703,784.97 and 306,021.19 is: 422,332.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,961.37 : 703,784.97 = 306,021.19 : x
  2. Step 2: Convert to fraction form
    509,961.37/703,784.97 = 306,021.19/x
  3. Step 3: Cross multiply
    509,961.37x = 703,784.97 × 306,021.19
  4. Step 4: Simplify right side
    509,961.37x = 215,373,114,023.51
  5. Step 5: Solve for x
    x = 215,373,114,023.51/509,961.37
  6. Step 6: Final answer
    x = 422,332.21

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Half scale
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Double scale
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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.