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Finding the Fourth Proportional to 471,985.38, 708,039.84 and 172,606.95

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Solution

The fourth proportional to 471,985.38, 708,039.84 and 172,606.95 is: 258,933.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,985.38 : 708,039.84 = 172,606.95 : x
  2. Step 2: Convert to fraction form
    471,985.38/708,039.84 = 172,606.95/x
  3. Step 3: Cross multiply
    471,985.38x = 708,039.84 × 172,606.95
  4. Step 4: Simplify right side
    471,985.38x = 122,212,597,260.89
  5. Step 5: Solve for x
    x = 122,212,597,260.89/471,985.38
  6. Step 6: Final answer
    x = 258,933.01

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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.