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Finding the Fourth Proportional to 422,709.12, 583,342.08 and 231,740.16

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Solution

The fourth proportional to 422,709.12, 583,342.08 and 231,740.16 is: 319,803.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,709.12 : 583,342.08 = 231,740.16 : x
  2. Step 2: Convert to fraction form
    422,709.12/583,342.08 = 231,740.16/x
  3. Step 3: Cross multiply
    422,709.12x = 583,342.08 × 231,740.16
  4. Step 4: Simplify right side
    422,709.12x = 135,183,786,953.93
  5. Step 5: Solve for x
    x = 135,183,786,953.93/422,709.12
  6. Step 6: Final answer
    x = 319,803.34

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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.