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Finding the Fourth Proportional to 648,997.60, 972,913.20 and 412,218.40

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Solution

The fourth proportional to 648,997.60, 972,913.20 and 412,218.40 is: 617,957.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,997.60 : 972,913.20 = 412,218.40 : x
  2. Step 2: Convert to fraction form
    648,997.60/972,913.20 = 412,218.40/x
  3. Step 3: Cross multiply
    648,997.60x = 972,913.20 × 412,218.40
  4. Step 4: Simplify right side
    648,997.60x = 401,052,722,642.88
  5. Step 5: Solve for x
    x = 401,052,722,642.88/648,997.60
  6. Step 6: Final answer
    x = 617,957.17

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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.