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Finding the Fourth Proportional to 616,860.96, 925,297.92 and 217,427.28

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Solution

The fourth proportional to 616,860.96, 925,297.92 and 217,427.28 is: 326,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,860.96 : 925,297.92 = 217,427.28 : x
  2. Step 2: Convert to fraction form
    616,860.96/925,297.92 = 217,427.28/x
  3. Step 3: Cross multiply
    616,860.96x = 925,297.92 × 217,427.28
  4. Step 4: Simplify right side
    616,860.96x = 201,185,009,935.26
  5. Step 5: Solve for x
    x = 201,185,009,935.26/616,860.96
  6. Step 6: Final answer
    x = 326,143.20

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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.