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Finding the Fourth Proportional to 416,128.20, 624,192.30 and 206,176.20

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Solution

The fourth proportional to 416,128.20, 624,192.30 and 206,176.20 is: 309,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,128.20 : 624,192.30 = 206,176.20 : x
  2. Step 2: Convert to fraction form
    416,128.20/624,192.30 = 206,176.20/x
  3. Step 3: Cross multiply
    416,128.20x = 624,192.30 × 206,176.20
  4. Step 4: Simplify right side
    416,128.20x = 128,693,596,483.26
  5. Step 5: Solve for x
    x = 128,693,596,483.26/416,128.20
  6. Step 6: Final answer
    x = 309,264.30

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1.5x scale

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.