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Finding the Fourth Proportional to 378,730.50, 522,664.77 and 217,636.08

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Solution

The fourth proportional to 378,730.50, 522,664.77 and 217,636.08 is: 300,347.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,730.50 : 522,664.77 = 217,636.08 : x
  2. Step 2: Convert to fraction form
    378,730.50/522,664.77 = 217,636.08/x
  3. Step 3: Cross multiply
    378,730.50x = 522,664.77 × 217,636.08
  4. Step 4: Simplify right side
    378,730.50x = 113,750,711,696.90
  5. Step 5: Solve for x
    x = 113,750,711,696.90/378,730.50
  6. Step 6: Final answer
    x = 300,347.38

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1.5x scale

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.