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Finding the Fourth Proportional to 354,043.12, 488,356.32 and 210,696.16

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Solution

The fourth proportional to 354,043.12, 488,356.32 and 210,696.16 is: 290,627.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,043.12 : 488,356.32 = 210,696.16 : x
  2. Step 2: Convert to fraction form
    354,043.12/488,356.32 = 210,696.16/x
  3. Step 3: Cross multiply
    354,043.12x = 488,356.32 × 210,696.16
  4. Step 4: Simplify right side
    354,043.12x = 102,894,801,335.73
  5. Step 5: Solve for x
    x = 102,894,801,335.73/354,043.12
  6. Step 6: Final answer
    x = 290,627.88

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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.