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Finding the Fourth Proportional to 320,584.32, 442,408.32 and 186,448.32

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Solution

The fourth proportional to 320,584.32, 442,408.32 and 186,448.32 is: 257,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,584.32 : 442,408.32 = 186,448.32 : x
  2. Step 2: Convert to fraction form
    320,584.32/442,408.32 = 186,448.32/x
  3. Step 3: Cross multiply
    320,584.32x = 442,408.32 × 186,448.32
  4. Step 4: Simplify right side
    320,584.32x = 82,486,288,018.02
  5. Step 5: Solve for x
    x = 82,486,288,018.02/320,584.32
  6. Step 6: Final answer
    x = 257,299.82

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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.