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Finding the Fourth Proportional to 358,402.08, 494,429.40 and 214,913.28

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Solution

The fourth proportional to 358,402.08, 494,429.40 and 214,913.28 is: 296,481.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,402.08 : 494,429.40 = 214,913.28 : x
  2. Step 2: Convert to fraction form
    358,402.08/494,429.40 = 214,913.28/x
  3. Step 3: Cross multiply
    358,402.08x = 494,429.40 × 214,913.28
  4. Step 4: Simplify right side
    358,402.08x = 106,259,444,082.43
  5. Step 5: Solve for x
    x = 106,259,444,082.43/358,402.08
  6. Step 6: Final answer
    x = 296,481.10

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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.