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Finding the Fourth Proportional to 471,489.30, 706,671.39 and 328,560.34

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Solution

The fourth proportional to 471,489.30, 706,671.39 and 328,560.34 is: 492,448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,489.30 : 706,671.39 = 328,560.34 : x
  2. Step 2: Convert to fraction form
    471,489.30/706,671.39 = 328,560.34/x
  3. Step 3: Cross multiply
    471,489.30x = 706,671.39 × 328,560.34
  4. Step 4: Simplify right side
    471,489.30x = 232,184,192,166.67
  5. Step 5: Solve for x
    x = 232,184,192,166.67/471,489.30
  6. Step 6: Final answer
    x = 492,448.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.