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Finding the Fourth Proportional to 648,995.60, 972,910.20 and 412,216.40

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Solution

The fourth proportional to 648,995.60, 972,910.20 and 412,216.40 is: 617,954.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,995.60 : 972,910.20 = 412,216.40 : x
  2. Step 2: Convert to fraction form
    648,995.60/972,910.20 = 412,216.40/x
  3. Step 3: Cross multiply
    648,995.60x = 972,910.20 × 412,216.40
  4. Step 4: Simplify right side
    648,995.60x = 401,049,540,167.28
  5. Step 5: Solve for x
    x = 401,049,540,167.28/648,995.60
  6. Step 6: Final answer
    x = 617,954.17

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1.5x scale

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.