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Finding the Fourth Proportional to 442,042.54, 663,068.46 and 353,856.64

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Solution

The fourth proportional to 442,042.54, 663,068.46 and 353,856.64 is: 530,788.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,042.54 : 663,068.46 = 353,856.64 : x
  2. Step 2: Convert to fraction form
    442,042.54/663,068.46 = 353,856.64/x
  3. Step 3: Cross multiply
    442,042.54x = 663,068.46 × 353,856.64
  4. Step 4: Simplify right side
    442,042.54x = 234,631,177,345.57
  5. Step 5: Solve for x
    x = 234,631,177,345.57/442,042.54
  6. Step 6: Final answer
    x = 530,788.68

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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.