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Finding the Fourth Proportional to 517,301.18, 776,141.31 and 217,857.14

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Solution

The fourth proportional to 517,301.18, 776,141.31 and 217,857.14 is: 326,865.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,301.18 : 776,141.31 = 217,857.14 : x
  2. Step 2: Convert to fraction form
    517,301.18/776,141.31 = 217,857.14/x
  3. Step 3: Cross multiply
    517,301.18x = 776,141.31 × 217,857.14
  4. Step 4: Simplify right side
    517,301.18x = 169,087,926,032.45
  5. Step 5: Solve for x
    x = 169,087,926,032.45/517,301.18
  6. Step 6: Final answer
    x = 326,865.53

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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.