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Finding the Fourth Proportional to 431,671.84, 646,953.60 and 206,695.16

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Solution

The fourth proportional to 431,671.84, 646,953.60 and 206,695.16 is: 309,777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,671.84 : 646,953.60 = 206,695.16 : x
  2. Step 2: Convert to fraction form
    431,671.84/646,953.60 = 206,695.16/x
  3. Step 3: Cross multiply
    431,671.84x = 646,953.60 × 206,695.16
  4. Step 4: Simplify right side
    431,671.84x = 133,722,177,864.58
  5. Step 5: Solve for x
    x = 133,722,177,864.58/431,671.84
  6. Step 6: Final answer
    x = 309,777.39

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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.