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Finding the Fourth Proportional to 442,884.60, 664,326.90 and 206,688.60

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Solution

The fourth proportional to 442,884.60, 664,326.90 and 206,688.60 is: 310,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,884.60 : 664,326.90 = 206,688.60 : x
  2. Step 2: Convert to fraction form
    442,884.60/664,326.90 = 206,688.60/x
  3. Step 3: Cross multiply
    442,884.60x = 664,326.90 × 206,688.60
  4. Step 4: Simplify right side
    442,884.60x = 137,308,796,903.34
  5. Step 5: Solve for x
    x = 137,308,796,903.34/442,884.60
  6. Step 6: Final answer
    x = 310,032.90

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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.