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Finding the Fourth Proportional to 490,714.88, 736,071.42 and 153,781.34

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Solution

The fourth proportional to 490,714.88, 736,071.42 and 153,781.34 is: 230,671.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,714.88 : 736,071.42 = 153,781.34 : x
  2. Step 2: Convert to fraction form
    490,714.88/736,071.42 = 153,781.34/x
  3. Step 3: Cross multiply
    490,714.88x = 736,071.42 × 153,781.34
  4. Step 4: Simplify right side
    490,714.88x = 113,194,049,303.30
  5. Step 5: Solve for x
    x = 113,194,049,303.30/490,714.88
  6. Step 6: Final answer
    x = 230,671.73

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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.