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Finding the Fourth Proportional to 521,047.14, 781,162.43 and 205,740.06

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Solution

The fourth proportional to 521,047.14, 781,162.43 and 205,740.06 is: 308,448.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,047.14 : 781,162.43 = 205,740.06 : x
  2. Step 2: Convert to fraction form
    521,047.14/781,162.43 = 205,740.06/x
  3. Step 3: Cross multiply
    521,047.14x = 781,162.43 × 205,740.06
  4. Step 4: Simplify right side
    521,047.14x = 160,716,404,189.25
  5. Step 5: Solve for x
    x = 160,716,404,189.25/521,047.14
  6. Step 6: Final answer
    x = 308,448.88

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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.