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Finding the Fourth Proportional to 378,970.17, 522,965.12 and 209,200.65

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Solution

The fourth proportional to 378,970.17, 522,965.12 and 209,200.65 is: 288,689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,970.17 : 522,965.12 = 209,200.65 : x
  2. Step 2: Convert to fraction form
    378,970.17/522,965.12 = 209,200.65/x
  3. Step 3: Cross multiply
    378,970.17x = 522,965.12 × 209,200.65
  4. Step 4: Simplify right side
    378,970.17x = 109,404,640,939.50
  5. Step 5: Solve for x
    x = 109,404,640,939.50/378,970.17
  6. Step 6: Final answer
    x = 288,689.32

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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.