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Finding the Fourth Proportional to 471,810.88, 707,085.78 and 172,009.84

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Solution

The fourth proportional to 471,810.88, 707,085.78 and 172,009.84 is: 257,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,810.88 : 707,085.78 = 172,009.84 : x
  2. Step 2: Convert to fraction form
    471,810.88/707,085.78 = 172,009.84/x
  3. Step 3: Cross multiply
    471,810.88x = 707,085.78 × 172,009.84
  4. Step 4: Simplify right side
    471,810.88x = 121,625,711,884.08
  5. Step 5: Solve for x
    x = 121,625,711,884.08/471,810.88
  6. Step 6: Final answer
    x = 257,784.88

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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.