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Finding the Fourth Proportional to 396,439.92, 546,866.64 and 260,496

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Solution

The fourth proportional to 396,439.92, 546,866.64 and 260,496 is: 359,339.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,439.92 : 546,866.64 = 260,496 : x
  2. Step 2: Convert to fraction form
    396,439.92/546,866.64 = 260,496/x
  3. Step 3: Cross multiply
    396,439.92x = 546,866.64 × 260,496
  4. Step 4: Simplify right side
    396,439.92x = 142,456,572,253.44
  5. Step 5: Solve for x
    x = 142,456,572,253.44/396,439.92
  6. Step 6: Final answer
    x = 359,339.63

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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.