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Finding the Fourth Proportional to 472,651.20, 708,976.80 and 140,227.20

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Solution

The fourth proportional to 472,651.20, 708,976.80 and 140,227.20 is: 210,340.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,651.20 : 708,976.80 = 140,227.20 : x
  2. Step 2: Convert to fraction form
    472,651.20/708,976.80 = 140,227.20/x
  3. Step 3: Cross multiply
    472,651.20x = 708,976.80 × 140,227.20
  4. Step 4: Simplify right side
    472,651.20x = 99,417,831,528.96
  5. Step 5: Solve for x
    x = 99,417,831,528.96/472,651.20
  6. Step 6: Final answer
    x = 210,340.80

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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.