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Finding the Fourth Proportional to 517,282.56, 713,842.92 and 290,928.06

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Solution

The fourth proportional to 517,282.56, 713,842.92 and 290,928.06 is: 401,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,282.56 : 713,842.92 = 290,928.06 : x
  2. Step 2: Convert to fraction form
    517,282.56/713,842.92 = 290,928.06/x
  3. Step 3: Cross multiply
    517,282.56x = 713,842.92 × 290,928.06
  4. Step 4: Simplify right side
    517,282.56x = 207,676,935,860.34
  5. Step 5: Solve for x
    x = 207,676,935,860.34/517,282.56
  6. Step 6: Final answer
    x = 401,476.78

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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.