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Finding the Fourth Proportional to 490,474.64, 735,714.40 and 148,921.04

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Solution

The fourth proportional to 490,474.64, 735,714.40 and 148,921.04 is: 223,382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,474.64 : 735,714.40 = 148,921.04 : x
  2. Step 2: Convert to fraction form
    490,474.64/735,714.40 = 148,921.04/x
  3. Step 3: Cross multiply
    490,474.64x = 735,714.40 × 148,921.04
  4. Step 4: Simplify right side
    490,474.64x = 109,563,353,590.98
  5. Step 5: Solve for x
    x = 109,563,353,590.98/490,474.64
  6. Step 6: Final answer
    x = 223,382.30

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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.