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Finding the Fourth Proportional to 656,259.79, 984,410.88 and 206,984.92

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Solution

The fourth proportional to 656,259.79, 984,410.88 and 206,984.92 is: 310,484.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,259.79 : 984,410.88 = 206,984.92 : x
  2. Step 2: Convert to fraction form
    656,259.79/984,410.88 = 206,984.92/x
  3. Step 3: Cross multiply
    656,259.79x = 984,410.88 × 206,984.92
  4. Step 4: Simplify right side
    656,259.79x = 203,758,207,243.93
  5. Step 5: Solve for x
    x = 203,758,207,243.93/656,259.79
  6. Step 6: Final answer
    x = 310,484.06

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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.