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Finding the Fourth Proportional to 361,223.82, 498,729.96 and 225,312.30

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Solution

The fourth proportional to 361,223.82, 498,729.96 and 225,312.30 is: 311,081.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,223.82 : 498,729.96 = 225,312.30 : x
  2. Step 2: Convert to fraction form
    361,223.82/498,729.96 = 225,312.30/x
  3. Step 3: Cross multiply
    361,223.82x = 498,729.96 × 225,312.30
  4. Step 4: Simplify right side
    361,223.82x = 112,369,994,366.51
  5. Step 5: Solve for x
    x = 112,369,994,366.51/361,223.82
  6. Step 6: Final answer
    x = 311,081.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.