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Finding the Fourth Proportional to 355,856.34, 491,033.30 and 212,585.96

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Solution

The fourth proportional to 355,856.34, 491,033.30 and 212,585.96 is: 293,339.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,856.34 : 491,033.30 = 212,585.96 : x
  2. Step 2: Convert to fraction form
    355,856.34/491,033.30 = 212,585.96/x
  3. Step 3: Cross multiply
    355,856.34x = 491,033.30 × 212,585.96
  4. Step 4: Simplify right side
    355,856.34x = 104,386,785,472.47
  5. Step 5: Solve for x
    x = 104,386,785,472.47/355,856.34
  6. Step 6: Final answer
    x = 293,339.68

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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.