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Finding the Fourth Proportional to 499,765.76, 689,664.80 and 306,249.20

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Solution

The fourth proportional to 499,765.76, 689,664.80 and 306,249.20 is: 422,616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,765.76 : 689,664.80 = 306,249.20 : x
  2. Step 2: Convert to fraction form
    499,765.76/689,664.80 = 306,249.20/x
  3. Step 3: Cross multiply
    499,765.76x = 689,664.80 × 306,249.20
  4. Step 4: Simplify right side
    499,765.76x = 211,209,293,268.16
  5. Step 5: Solve for x
    x = 211,209,293,268.16/499,765.76
  6. Step 6: Final answer
    x = 422,616.57

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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.