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Finding the Fourth Proportional to 645,574.48, 968,361.80 and 172,261.60

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Solution

The fourth proportional to 645,574.48, 968,361.80 and 172,261.60 is: 258,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,574.48 : 968,361.80 = 172,261.60 : x
  2. Step 2: Convert to fraction form
    645,574.48/968,361.80 = 172,261.60/x
  3. Step 3: Cross multiply
    645,574.48x = 968,361.80 × 172,261.60
  4. Step 4: Simplify right side
    645,574.48x = 166,811,553,046.88
  5. Step 5: Solve for x
    x = 166,811,553,046.88/645,574.48
  6. Step 6: Final answer
    x = 258,392.42

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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.