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Finding the Fourth Proportional to 656,465.40, 984,525.30 and 207,185.40

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Solution

The fourth proportional to 656,465.40, 984,525.30 and 207,185.40 is: 310,723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,465.40 : 984,525.30 = 207,185.40 : x
  2. Step 2: Convert to fraction form
    656,465.40/984,525.30 = 207,185.40/x
  3. Step 3: Cross multiply
    656,465.40x = 984,525.30 × 207,185.40
  4. Step 4: Simplify right side
    656,465.40x = 203,979,268,090.62
  5. Step 5: Solve for x
    x = 203,979,268,090.62/656,465.40
  6. Step 6: Final answer
    x = 310,723.56

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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.