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Finding the Fourth Proportional to 358,631.04, 494,762.52 and 213,408

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Solution

The fourth proportional to 358,631.04, 494,762.52 and 213,408 is: 294,414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,631.04 : 494,762.52 = 213,408 : x
  2. Step 2: Convert to fraction form
    358,631.04/494,762.52 = 213,408/x
  3. Step 3: Cross multiply
    358,631.04x = 494,762.52 × 213,408
  4. Step 4: Simplify right side
    358,631.04x = 105,586,279,868.16
  5. Step 5: Solve for x
    x = 105,586,279,868.16/358,631.04
  6. Step 6: Final answer
    x = 294,414.78

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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.